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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

ग्राफ में यदि दोनों समीकरण एक ही रेखा दें तो युग्म में कितने हल होंगे?

If both equations give the same line in a graph then how many solutions will the pair have?

Explanation opens after your attempt

Correct Answer

D. अनंत हलInfinitely many solutions

Step 1

Concept

Every point on the same line satisfies both equations. Therefore such a pair has infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is D. अनंत हल / Infinitely many solutions. Every point on the same line satisfies both equations. Therefore such a pair has infinitely many solutions.

Step 3

Exam Tip

एक ही रेखा के हर बिंदु से दोनों समीकरण संतुष्ट होते हैं। इसलिए ऐसे युग्म में अनंत हल होते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
ग्राफ में यदि दोनों समीकरण एक ही रेखा दें तो युग्म में कितने हल होंगे?

Question English:
If both equations give the same line in a graph then how many solutions will the pair have?

Options:
A. एक हल / One solution
B. कोई हल नहीं / No solution
C. तीन हल / Three solutions
D. अनंत हल / Infinitely many solutions

Correct Answer:
D. अनंत हल / Infinitely many solutions

Explanation Hindi:
एक ही रेखा के हर बिंदु से दोनों समीकरण संतुष्ट होते हैं। इसलिए ऐसे युग्म में अनंत हल होते हैं।

Explanation English:
Every point on the same line satisfies both equations. Therefore such a pair has infinitely many solutions.

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

ग्राफ में यदि दोनों रेखाएं एक ही रेखा बन जाएं, तो हलों की संख्या क्या होगी?

If both lines become the same line in a graph, how many solutions will there be?

Explanation opens after your attempt

Correct Answer

C. अनंत हलInfinitely many solutions

Step 1

Concept

Every point on the same line satisfies both equations. Therefore, such a pair has infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल / Infinitely many solutions. Every point on the same line satisfies both equations. Therefore, such a pair has infinitely many solutions.

Step 3

Exam Tip

एक ही रेखा के हर बिंदु से दोनों समीकरण संतुष्ट होते हैं। इसलिए ऐसे युग्म के अनंत हल होते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
ग्राफ में यदि दोनों रेखाएं एक ही रेखा बन जाएं, तो हलों की संख्या क्या होगी?

Question English:
If both lines become the same line in a graph, how many solutions will there be?

Options:
A. एक हल / One solution
B. कोई हल नहीं / No solution
C. अनंत हल / Infinitely many solutions
D. केवल मूल बिंदु / Only origin

Correct Answer:
C. अनंत हल / Infinitely many solutions

Explanation Hindi:
एक ही रेखा के हर बिंदु से दोनों समीकरण संतुष्ट होते हैं। इसलिए ऐसे युग्म के अनंत हल होते हैं।

Explanation English:
Every point on the same line satisfies both equations. Therefore, such a pair has infinitely many solutions.

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Question Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

यदि ग्राफ पर दोनों रेखाएँ बिल्कुल एक ही रेखा बनती हैं, तो हलों की संख्या क्या होगी?

If both lines on a graph form exactly the same line, how many solutions will there be?

Explanation opens after your attempt

Correct Answer

B. अनंत हलInfinitely many solutions

Step 1

Concept

All points on the same line satisfy both equations. Therefore, there are infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is B. अनंत हल / Infinitely many solutions. All points on the same line satisfy both equations. Therefore, there are infinitely many solutions.

Step 3

Exam Tip

एक ही रेखा के सभी बिंदु दोनों समीकरणों को संतुष्ट करते हैं। इसलिए अनंत हल मिलते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Graphical method of finding solutions.
Difficulty: Easy
Level: 53

Question Hindi:
यदि ग्राफ पर दोनों रेखाएँ बिल्कुल एक ही रेखा बनती हैं, तो हलों की संख्या क्या होगी?

Question English:
If both lines on a graph form exactly the same line, how many solutions will there be?

Options:
A. एक हल / One solution
B. अनंत हल / Infinitely many solutions
C. कोई हल नहीं / No solution
D. केवल दो हल / Only two solutions

Correct Answer:
B. अनंत हल / Infinitely many solutions

Explanation Hindi:
एक ही रेखा के सभी बिंदु दोनों समीकरणों को संतुष्ट करते हैं। इसलिए अनंत हल मिलते हैं।

Explanation English:
All points on the same line satisfy both equations. Therefore, there are infinitely many solutions.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

यदि दो रेखाओं की ढाल समान और अवरोध भी समान हो, तो उनके समीकरणों के युग्म में कितने हल होंगे?

If two lines have the same slope and the same intercept, how many solutions will their pair of equations have?

Explanation opens after your attempt

Correct Answer

C. अनंत हलInfinitely many solutions

Step 1

Concept

Same slope and same intercept mean the same line. Therefore, such a pair has infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल / Infinitely many solutions. Same slope and same intercept mean the same line. Therefore, such a pair has infinitely many solutions.

Step 3

Exam Tip

समान ढाल और समान अवरोध का अर्थ एक ही रेखा है। इसलिए ऐसे युग्म में अनंत हल होते हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Expert
Level: 58

Question Hindi:
यदि दो रेखाओं की ढाल समान और अवरोध भी समान हो, तो उनके समीकरणों के युग्म में कितने हल होंगे?

Question English:
If two lines have the same slope and the same intercept, how many solutions will their pair of equations have?

Options:
A. अद्वितीय हल / Unique solution
B. कोई हल नहीं / No solution
C. अनंत हल / Infinitely many solutions
D. सिर्फ मूल बिंदु / Only origin

Correct Answer:
C. अनंत हल / Infinitely many solutions

Explanation Hindi:
समान ढाल और समान अवरोध का अर्थ एक ही रेखा है। इसलिए ऐसे युग्म में अनंत हल होते हैं।

Explanation English:
Same slope and same intercept mean the same line. Therefore, such a pair has infinitely many solutions.

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1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (21x+8y=97) और (42x+16y=194) को देखकर कौन-सा कथन सही है?

Which statement is correct by observing the equations (21x+8y=97) and (42x+16y=194)?

Explanation opens after your attempt

Correct Answer

B. रेखाएं एक ही हैंLines are the same

Step 1

Concept

The second equation is (2) times the first. Therefore, both lines are the same and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore, both lines are the same and have infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं और अनंत हल हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Expert
Level: 60

Question Hindi:
समीकरणों (21x+8y=97) और (42x+16y=194) को देखकर कौन-सा कथन सही है?

Question English:
Which statement is correct by observing the equations (21x+8y=97) and (42x+16y=194)?

Options:
A. रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B. रेखाएं एक ही हैं / Lines are the same
C. रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D. कोई हल नहीं है / There is no solution

Correct Answer:
B. रेखाएं एक ही हैं / Lines are the same

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं और अनंत हल हैं।

Explanation English:
The second equation is (2) times the first. Therefore, both lines are the same and have infinitely many solutions.

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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

संपाती रेखाओं के लिए सही बीजीय शर्त कौन-सी है?

Which algebraic condition is correct for coincident lines?

Explanation opens after your attempt

Correct Answer

C. \(\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\)

Step 1

Concept

Coincident lines represent the same line. Hence all three ratios are equal and infinitely many solutions occur.

Step 2

Why this answer is correct

The correct answer is C. \(\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\). Coincident lines represent the same line. Hence all three ratios are equal and infinitely many solutions occur.

Step 3

Exam Tip

संपाती रेखाएँ एक ही रेखा को दर्शाती हैं। इसलिए तीनों अनुपात समान होते हैं और अनंत हल मिलते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Expert
Level: 59

Question Hindi:
संपाती रेखाओं के लिए सही बीजीय शर्त कौन-सी है?

Question English:
Which algebraic condition is correct for coincident lines?

Options:
A. (\frac{a_1}{a_2}\neq\frac{b_1}{b_2})
B. (\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq\frac{c_1}{c_2})
C. (\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2})
D. (a_1b_2-a_2b_1\neq0)

Correct Answer:
C. (\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2})

Explanation Hindi:
संपाती रेखाएँ एक ही रेखा को दर्शाती हैं। इसलिए तीनों अनुपात समान होते हैं और अनंत हल मिलते हैं।

Explanation English:
Coincident lines represent the same line. Hence all three ratios are equal and infinitely many solutions occur.

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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

युग्म (x+2y=3) और (4x+8y=12) के लिए सही हल-स्थिति कौन-सी है?

Which solution status is correct for (x+2y=3) and (4x+8y=12)?

Explanation opens after your attempt

Correct Answer

A. अनंत हलInfinitely many solutions

Step 1

Concept

The second equation is (4) times the first. Both are the same line, so there are infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is A. अनंत हल / Infinitely many solutions. The second equation is (4) times the first. Both are the same line, so there are infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (4) गुना है। दोनों समान रेखाएँ हैं, इसलिए अनंत हल हैं।

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https://muftshiksha.com/question/which-solution-status-is-correct-for-x-2y-3-and-4x-8y-12

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Expert
Level: 59

Question Hindi:
युग्म (x+2y=3) और (4x+8y=12) के लिए सही हल-स्थिति कौन-सी है?

Question English:
Which solution status is correct for (x+2y=3) and (4x+8y=12)?

Options:
A. अनंत हल / Infinitely many solutions
B. कोई हल नहीं / No solution
C. अद्वितीय हल / Unique solution
D. एक भी बिंदु नहीं / No point at all

Correct Answer:
A. अनंत हल / Infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (4) गुना है। दोनों समान रेखाएँ हैं, इसलिए अनंत हल हैं।

Explanation English:
The second equation is (4) times the first. Both are the same line, so there are infinitely many solutions.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

युग्म (2x+3y=5) और (4x+6y=10) के लिए कौन-सा कथन सही है?

Which statement is correct for (2x+3y=5) and (4x+6y=10)?

Explanation opens after your attempt

Correct Answer

D. अनंत हलInfinitely many solutions

Step 1

Concept

The second equation is (2) times the first. Thus both are the same line and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is D. अनंत हल / Infinitely many solutions. The second equation is (2) times the first. Thus both are the same line and have infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों एक ही रेखा हैं और अनंत हल हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Expert
Level: 59

Question Hindi:
युग्म (2x+3y=5) और (4x+6y=10) के लिए कौन-सा कथन सही है?

Question English:
Which statement is correct for (2x+3y=5) and (4x+6y=10)?

Options:
A. कोई हल नहीं / No solution
B. अद्वितीय हल / Unique solution
C. हल केवल (x=0) पर है / Solution only at (x=0)
D. अनंत हल / Infinitely many solutions

Correct Answer:
D. अनंत हल / Infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों एक ही रेखा हैं और अनंत हल हैं।

Explanation English:
The second equation is (2) times the first. Thus both are the same line and have infinitely many solutions.

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1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (18x+13y=89) और (36x+26y=178) को देखकर कौन-सा कथन सही है?

Which statement is correct by observing the equations (18x+13y=89) and (36x+26y=178)?

Explanation opens after your attempt

Correct Answer

B. रेखाएं एक ही हैंLines are the same

Step 1

Concept

The second equation is (2) times the first. Therefore, both lines are the same.

Step 2

Why this answer is correct

The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore, both lines are the same.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Expert
Level: 60

Question Hindi:
समीकरणों (18x+13y=89) और (36x+26y=178) को देखकर कौन-सा कथन सही है?

Question English:
Which statement is correct by observing the equations (18x+13y=89) and (36x+26y=178)?

Options:
A. रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B. रेखाएं एक ही हैं / Lines are the same
C. रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D. कोई हल नहीं है / There is no solution

Correct Answer:
B. रेखाएं एक ही हैं / Lines are the same

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

Explanation English:
The second equation is (2) times the first. Therefore, both lines are the same.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (11x+18y=86) और (33x+54y=258) में तीनों अनुपातों का संबंध क्या है?

What is the relation among all three ratios in the equations (11x+18y=86) and (33x+54y=258)?

Explanation opens after your attempt

Correct Answer

A. तीनों बराबर हैंAll three are equal

Step 1

Concept

Here (11/33=18/54=86/258). Therefore, both equations form the same line.

Step 2

Why this answer is correct

The correct answer is A. तीनों बराबर हैं / All three are equal. Here (11/33=18/54=86/258). Therefore, both equations form the same line.

Step 3

Exam Tip

यहां (11/33=18/54=86/258)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Expert
Level: 60

Question Hindi:
समीकरणों (11x+18y=86) और (33x+54y=258) में तीनों अनुपातों का संबंध क्या है?

Question English:
What is the relation among all three ratios in the equations (11x+18y=86) and (33x+54y=258)?

Options:
A. तीनों बराबर हैं / All three are equal
B. पहले दो बराबर और तीसरा अलग है / First two are equal and third is different
C. पहले दो अलग हैं / First two are different
D. केवल स्थिर पद बराबर हैं / Only constants are equal

Correct Answer:
A. तीनों बराबर हैं / All three are equal

Explanation Hindi:
यहां (11/33=18/54=86/258)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

Explanation English:
Here (11/33=18/54=86/258). Therefore, both equations form the same line.

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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (30x+45y=210) और (2x+3y=14) का युग्म किस प्रकार का है?

What type of pair is formed by the equations (30x+45y=210) and (2x+3y=14)?

Explanation opens after your attempt

Correct Answer

A. संगत और आश्रितConsistent and dependent

Step 1

Concept

The first equation is (15) times the second. Therefore, both are the same line and the pair is dependent.

Step 2

Why this answer is correct

The correct answer is A. संगत और आश्रित / Consistent and dependent. The first equation is (15) times the second. Therefore, both are the same line and the pair is dependent.

Step 3

Exam Tip

पहला समीकरण दूसरे का (15) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Expert
Level: 60

Question Hindi:
समीकरणों (30x+45y=210) और (2x+3y=14) का युग्म किस प्रकार का है?

Question English:
What type of pair is formed by the equations (30x+45y=210) and (2x+3y=14)?

Options:
A. संगत और आश्रित / Consistent and dependent
B. असंगत / Inconsistent
C. संगत और स्वतंत्र / Consistent and independent
D. असमाधेय / Unsolvable

Correct Answer:
A. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
पहला समीकरण दूसरे का (15) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

Explanation English:
The first equation is (15) times the second. Therefore, both are the same line and the pair is dependent.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (30x+18y=126) और (5x+3y=21) के ग्राफ में क्या दिखेगा?

What will be shown in the graph of the equations (30x+18y=126) and (5x+3y=21)?

Explanation opens after your attempt

Correct Answer

A. एक ही रेखाSame line

Step 1

Concept

The first equation is (6) times the second. Therefore, both equations show the same line.

Step 2

Why this answer is correct

The correct answer is A. एक ही रेखा / Same line. The first equation is (6) times the second. Therefore, both equations show the same line.

Step 3

Exam Tip

पहला समीकरण दूसरे का (6) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Expert
Level: 60

Question Hindi:
समीकरणों (30x+18y=126) और (5x+3y=21) के ग्राफ में क्या दिखेगा?

Question English:
What will be shown in the graph of the equations (30x+18y=126) and (5x+3y=21)?

Options:
A. एक ही रेखा / Same line
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई रेखा नहीं / No line

Correct Answer:
A. एक ही रेखा / Same line

Explanation Hindi:
पहला समीकरण दूसरे का (6) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

Explanation English:
The first equation is (6) times the second. Therefore, both equations show the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (18x+5y=79) और (36x+10y=158) को देखकर कौन-सा कथन सही है?

Which statement is correct by observing the equations (18x+5y=79) and (36x+10y=158)?

Explanation opens after your attempt

Correct Answer

B. रेखाएं एक ही हैंLines are the same

Step 1

Concept

The second equation is (2) times the first. Therefore, both lines are the same and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore, both lines are the same and have infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं और अनंत हल हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 60

Question Hindi:
समीकरणों (18x+5y=79) और (36x+10y=158) को देखकर कौन-सा कथन सही है?

Question English:
Which statement is correct by observing the equations (18x+5y=79) and (36x+10y=158)?

Options:
A. रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B. रेखाएं एक ही हैं / Lines are the same
C. रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D. कोई हल नहीं है / There is no solution

Correct Answer:
B. रेखाएं एक ही हैं / Lines are the same

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं और अनंत हल हैं।

Explanation English:
The second equation is (2) times the first. Therefore, both lines are the same and have infinitely many solutions.

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2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (16x+11y=73) और (32x+22y=146) को देखकर कौन-सा कथन सही है?

Which statement is correct by observing the equations (16x+11y=73) and (32x+22y=146)?

Explanation opens after your attempt

Correct Answer

B. रेखाएं एक ही हैंLines are the same

Step 1

Concept

The second equation is (2) times the first. Therefore, both lines are the same.

Step 2

Why this answer is correct

The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore, both lines are the same.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 60

Question Hindi:
समीकरणों (16x+11y=73) और (32x+22y=146) को देखकर कौन-सा कथन सही है?

Question English:
Which statement is correct by observing the equations (16x+11y=73) and (32x+22y=146)?

Options:
A. रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B. रेखाएं एक ही हैं / Lines are the same
C. रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D. कोई हल नहीं है / There is no solution

Correct Answer:
B. रेखाएं एक ही हैं / Lines are the same

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

Explanation English:
The second equation is (2) times the first. Therefore, both lines are the same.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (9x+16y=74) और (27x+48y=222) में तीनों अनुपातों का संबंध क्या है?

What is the relation among all three ratios in the equations (9x+16y=74) and (27x+48y=222)?

Explanation opens after your attempt

Correct Answer

A. तीनों बराबर हैंAll three are equal

Step 1

Concept

Here (9/27=16/48=74/222). Therefore, both equations form the same line.

Step 2

Why this answer is correct

The correct answer is A. तीनों बराबर हैं / All three are equal. Here (9/27=16/48=74/222). Therefore, both equations form the same line.

Step 3

Exam Tip

यहां (9/27=16/48=74/222)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 60

Question Hindi:
समीकरणों (9x+16y=74) और (27x+48y=222) में तीनों अनुपातों का संबंध क्या है?

Question English:
What is the relation among all three ratios in the equations (9x+16y=74) and (27x+48y=222)?

Options:
A. तीनों बराबर हैं / All three are equal
B. पहले दो बराबर और तीसरा अलग है / First two are equal and third is different
C. पहले दो अलग हैं / First two are different
D. केवल स्थिर पद बराबर हैं / Only constants are equal

Correct Answer:
A. तीनों बराबर हैं / All three are equal

Explanation Hindi:
यहां (9/27=16/48=74/222)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

Explanation English:
Here (9/27=16/48=74/222). Therefore, both equations form the same line.

Video Structure:
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (24x+36y=168) और (2x+3y=14) का युग्म किस प्रकार का है?

What type of pair is formed by the equations (24x+36y=168) and (2x+3y=14)?

Explanation opens after your attempt

Correct Answer

A. संगत और आश्रितConsistent and dependent

Step 1

Concept

The first equation is (12) times the second. Therefore, both are the same line and the pair is dependent.

Step 2

Why this answer is correct

The correct answer is A. संगत और आश्रित / Consistent and dependent. The first equation is (12) times the second. Therefore, both are the same line and the pair is dependent.

Step 3

Exam Tip

पहला समीकरण दूसरे का (12) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 60

Question Hindi:
समीकरणों (24x+36y=168) और (2x+3y=14) का युग्म किस प्रकार का है?

Question English:
What type of pair is formed by the equations (24x+36y=168) and (2x+3y=14)?

Options:
A. संगत और आश्रित / Consistent and dependent
B. असंगत / Inconsistent
C. संगत और स्वतंत्र / Consistent and independent
D. असमाधेय / Unsolvable

Correct Answer:
A. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
पहला समीकरण दूसरे का (12) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

Explanation English:
The first equation is (12) times the second. Therefore, both are the same line and the pair is dependent.

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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरणों (25x+10y=95) और (5x+2y=19) के ग्राफ में क्या दिखेगा?

What will be shown in the graph of the equations (25x+10y=95) and (5x+2y=19)?

Explanation opens after your attempt

Correct Answer

A. एक ही रेखाSame line

Step 1

Concept

The first equation is (5) times the second. Therefore, both equations show the same line.

Step 2

Why this answer is correct

The correct answer is A. एक ही रेखा / Same line. The first equation is (5) times the second. Therefore, both equations show the same line.

Step 3

Exam Tip

पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 60

Question Hindi:
समीकरणों (25x+10y=95) और (5x+2y=19) के ग्राफ में क्या दिखेगा?

Question English:
What will be shown in the graph of the equations (25x+10y=95) and (5x+2y=19)?

Options:
A. एक ही रेखा / Same line
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई रेखा नहीं / No line

Correct Answer:
A. एक ही रेखा / Same line

Explanation Hindi:
पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

Explanation English:
The first equation is (5) times the second. Therefore, both equations show the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरणों (14x+9y=61) और (28x+18y=122) को देखकर कौन-सा कथन सही है?

Which statement is correct by observing the equations (14x+9y=61) and (28x+18y=122)?

Explanation opens after your attempt

Correct Answer

B. रेखाएं एक ही हैंLines are the same

Step 1

Concept

The second equation is (2) times the first. Therefore, both lines are the same.

Step 2

Why this answer is correct

The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore, both lines are the same.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 59

Question Hindi:
समीकरणों (14x+9y=61) और (28x+18y=122) को देखकर कौन-सा कथन सही है?

Question English:
Which statement is correct by observing the equations (14x+9y=61) and (28x+18y=122)?

Options:
A. रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B. रेखाएं एक ही हैं / Lines are the same
C. रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D. कोई हल नहीं है / There is no solution

Correct Answer:
B. रेखाएं एक ही हैं / Lines are the same

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

Explanation English:
The second equation is (2) times the first. Therefore, both lines are the same.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरणों (7x+10y=46) और (21x+30y=138) में तीनों अनुपातों का संबंध क्या है?

What is the relation among all three ratios in the equations (7x+10y=46) and (21x+30y=138)?

Explanation opens after your attempt

Correct Answer

A. तीनों बराबर हैंAll three are equal

Step 1

Concept

Here (7/21=10/30=46/138). Therefore, both equations form the same line.

Step 2

Why this answer is correct

The correct answer is A. तीनों बराबर हैं / All three are equal. Here (7/21=10/30=46/138). Therefore, both equations form the same line.

Step 3

Exam Tip

यहां (7/21=10/30=46/138)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 59

Question Hindi:
समीकरणों (7x+10y=46) और (21x+30y=138) में तीनों अनुपातों का संबंध क्या है?

Question English:
What is the relation among all three ratios in the equations (7x+10y=46) and (21x+30y=138)?

Options:
A. तीनों बराबर हैं / All three are equal
B. पहले दो बराबर और तीसरा अलग है / First two are equal and third is different
C. पहले दो अलग हैं / First two are different
D. केवल स्थिर पद बराबर हैं / Only constants are equal

Correct Answer:
A. तीनों बराबर हैं / All three are equal

Explanation Hindi:
यहां (7/21=10/30=46/138)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

Explanation English:
Here (7/21=10/30=46/138). Therefore, both equations form the same line.

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5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरणों (18x+30y=126) और (3x+5y=21) का युग्म किस प्रकार का है?

What type of pair is formed by the equations (18x+30y=126) and (3x+5y=21)?

Explanation opens after your attempt

Correct Answer

A. संगत और आश्रितConsistent and dependent

Step 1

Concept

The first equation is (6) times the second. Therefore, both are the same line and the pair is dependent.

Step 2

Why this answer is correct

The correct answer is A. संगत और आश्रित / Consistent and dependent. The first equation is (6) times the second. Therefore, both are the same line and the pair is dependent.

Step 3

Exam Tip

पहला समीकरण दूसरे का (6) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 59

Question Hindi:
समीकरणों (18x+30y=126) और (3x+5y=21) का युग्म किस प्रकार का है?

Question English:
What type of pair is formed by the equations (18x+30y=126) and (3x+5y=21)?

Options:
A. संगत और आश्रित / Consistent and dependent
B. असंगत / Inconsistent
C. संगत और स्वतंत्र / Consistent and independent
D. असमाधेय / Unsolvable

Correct Answer:
A. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
पहला समीकरण दूसरे का (6) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

Explanation English:
The first equation is (6) times the second. Therefore, both are the same line and the pair is dependent.

Video Structure:
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2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरणों (20x+15y=85) और (4x+3y=17) के ग्राफ में क्या दिखेगा?

What will be shown in the graph of the equations (20x+15y=85) and (4x+3y=17)?

Explanation opens after your attempt

Correct Answer

A. एक ही रेखाSame line

Step 1

Concept

The first equation is (5) times the second. Therefore, both equations show the same line.

Step 2

Why this answer is correct

The correct answer is A. एक ही रेखा / Same line. The first equation is (5) times the second. Therefore, both equations show the same line.

Step 3

Exam Tip

पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 59

Question Hindi:
समीकरणों (20x+15y=85) और (4x+3y=17) के ग्राफ में क्या दिखेगा?

Question English:
What will be shown in the graph of the equations (20x+15y=85) and (4x+3y=17)?

Options:
A. एक ही रेखा / Same line
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई रेखा नहीं / No line

Correct Answer:
A. एक ही रेखा / Same line

Explanation Hindi:
पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

Explanation English:
The first equation is (5) times the second. Therefore, both equations show the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरणों (8x+12y=40) और (2x+3y=10) में तीनों अनुपातों का संबंध क्या है?

What is the relation among all three ratios in the equations (8x+12y=40) and (2x+3y=10)?

Explanation opens after your attempt

Correct Answer

A. तीनों बराबर हैंAll three are equal

Step 1

Concept

Here (8/2=12/3=40/10). Therefore, both equations form the same line.

Step 2

Why this answer is correct

The correct answer is A. तीनों बराबर हैं / All three are equal. Here (8/2=12/3=40/10). Therefore, both equations form the same line.

Step 3

Exam Tip

यहां (8/2=12/3=40/10)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 58

Question Hindi:
समीकरणों (8x+12y=40) और (2x+3y=10) में तीनों अनुपातों का संबंध क्या है?

Question English:
What is the relation among all three ratios in the equations (8x+12y=40) and (2x+3y=10)?

Options:
A. तीनों बराबर हैं / All three are equal
B. पहले दो बराबर और तीसरा अलग है / First two are equal and third is different
C. पहले दो अलग हैं / First two are different
D. केवल स्थिर पद बराबर हैं / Only constants are equal

Correct Answer:
A. तीनों बराबर हैं / All three are equal

Explanation Hindi:
यहां (8/2=12/3=40/10)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

Explanation English:
Here (8/2=12/3=40/10). Therefore, both equations form the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरणों (3x+8y=27) और (9x+24y=81) का ग्राफ कैसा होगा?

What will be the graph of the equations (3x+8y=27) and (9x+24y=81)?

Explanation opens after your attempt

Correct Answer

B. एक ही रेखाSame line

Step 1

Concept

The second equation is (3) times the first. Therefore, both equations show the same line in the graph.

Step 2

Why this answer is correct

The correct answer is B. एक ही रेखा / Same line. The second equation is (3) times the first. Therefore, both equations show the same line in the graph.

Step 3

Exam Tip

दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों समीकरण ग्राफ में एक ही रेखा दिखाते हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 58

Question Hindi:
समीकरणों (3x+8y=27) और (9x+24y=81) का ग्राफ कैसा होगा?

Question English:
What will be the graph of the equations (3x+8y=27) and (9x+24y=81)?

Options:
A. दो अलग समानांतर रेखाएं / Two distinct parallel lines
B. एक ही रेखा / Same line
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई रेखा नहीं / No line

Correct Answer:
B. एक ही रेखा / Same line

Explanation Hindi:
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों समीकरण ग्राफ में एक ही रेखा दिखाते हैं।

Explanation English:
The second equation is (3) times the first. Therefore, both equations show the same line in the graph.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरणों (12x+5y=41) और (24x+10y=82) को देखकर कौन-सा कथन सही है?

Which statement is correct by observing the equations (12x+5y=41) and (24x+10y=82)?

Explanation opens after your attempt

Correct Answer

B. रेखाएं एक ही हैंLines are the same

Step 1

Concept

The second equation is (2) times the first. Therefore, both lines are the same.

Step 2

Why this answer is correct

The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore, both lines are the same.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 58

Question Hindi:
समीकरणों (12x+5y=41) और (24x+10y=82) को देखकर कौन-सा कथन सही है?

Question English:
Which statement is correct by observing the equations (12x+5y=41) and (24x+10y=82)?

Options:
A. रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B. रेखाएं एक ही हैं / Lines are the same
C. रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D. कोई हल नहीं है / There is no solution

Correct Answer:
B. रेखाएं एक ही हैं / Lines are the same

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

Explanation English:
The second equation is (2) times the first. Therefore, both lines are the same.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरणों (5x+6y=32) और (15x+18y=96) में तीनों अनुपातों का संबंध क्या है?

What is the relation among all three ratios in the equations (5x+6y=32) and (15x+18y=96)?

Explanation opens after your attempt

Correct Answer

A. तीनों बराबर हैंAll three are equal

Step 1

Concept

Here (5/15=6/18=32/96). Therefore, both equations form the same line.

Step 2

Why this answer is correct

The correct answer is A. तीनों बराबर हैं / All three are equal. Here (5/15=6/18=32/96). Therefore, both equations form the same line.

Step 3

Exam Tip

यहां (5/15=6/18=32/96)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 58

Question Hindi:
समीकरणों (5x+6y=32) और (15x+18y=96) में तीनों अनुपातों का संबंध क्या है?

Question English:
What is the relation among all three ratios in the equations (5x+6y=32) and (15x+18y=96)?

Options:
A. तीनों बराबर हैं / All three are equal
B. पहले दो बराबर और तीसरा अलग है / First two are equal and third is different
C. पहले दो अलग हैं / First two are different
D. केवल स्थिर पद बराबर हैं / Only constants are equal

Correct Answer:
A. तीनों बराबर हैं / All three are equal

Explanation Hindi:
यहां (5/15=6/18=32/96)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

Explanation English:
Here (5/15=6/18=32/96). Therefore, both equations form the same line.

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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरणों (16x+24y=88) और (2x+3y=11) का युग्म किस प्रकार का है?

What type of pair is formed by the equations (16x+24y=88) and (2x+3y=11)?

Explanation opens after your attempt

Correct Answer

A. संगत और आश्रितConsistent and dependent

Step 1

Concept

The first equation is (8) times the second. Therefore, both are the same line and the pair is dependent.

Step 2

Why this answer is correct

The correct answer is A. संगत और आश्रित / Consistent and dependent. The first equation is (8) times the second. Therefore, both are the same line and the pair is dependent.

Step 3

Exam Tip

पहला समीकरण दूसरे का (8) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 58

Question Hindi:
समीकरणों (16x+24y=88) और (2x+3y=11) का युग्म किस प्रकार का है?

Question English:
What type of pair is formed by the equations (16x+24y=88) and (2x+3y=11)?

Options:
A. संगत और आश्रित / Consistent and dependent
B. असंगत / Inconsistent
C. संगत और स्वतंत्र / Consistent and independent
D. असमाधेय / Unsolvable

Correct Answer:
A. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
पहला समीकरण दूसरे का (8) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

Explanation English:
The first equation is (8) times the second. Therefore, both are the same line and the pair is dependent.

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2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरणों (15x+10y=40) और (3x+2y=8) के ग्राफ में क्या दिखेगा?

What will be shown in the graph of the equations (15x+10y=40) and (3x+2y=8)?

Explanation opens after your attempt

Correct Answer

A. एक ही रेखाSame line

Step 1

Concept

The first equation is (5) times the second. Therefore, both equations show the same line.

Step 2

Why this answer is correct

The correct answer is A. एक ही रेखा / Same line. The first equation is (5) times the second. Therefore, both equations show the same line.

Step 3

Exam Tip

पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 58

Question Hindi:
समीकरणों (15x+10y=40) और (3x+2y=8) के ग्राफ में क्या दिखेगा?

Question English:
What will be shown in the graph of the equations (15x+10y=40) and (3x+2y=8)?

Options:
A. एक ही रेखा / Same line
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई रेखा नहीं / No line

Correct Answer:
A. एक ही रेखा / Same line

Explanation Hindi:
पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

Explanation English:
The first equation is (5) times the second. Therefore, both equations show the same line.

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2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

यदि \(a_1/a_2=b_1/b_2=c_1/c_2\), तो युग्म की सही प्रकृति क्या है?

If \(a_1/a_2=b_1/b_2=c_1/c_2\), what is the correct nature of the pair?

Explanation opens after your attempt

Correct Answer

C. संगत और आश्रितConsistent and dependent

Step 1

Concept

If all three ratios are equal, both equations form the same line. Therefore, the pair is consistent and dependent.

Step 2

Why this answer is correct

The correct answer is C. संगत और आश्रित / Consistent and dependent. If all three ratios are equal, both equations form the same line. Therefore, the pair is consistent and dependent.

Step 3

Exam Tip

तीनों अनुपात बराबर हों तो दोनों समीकरण एक ही रेखा बनाते हैं। इसलिए युग्म संगत और आश्रित होता है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Hard
Level: 58

Question Hindi:
यदि (a_1/a_2=b_1/b_2=c_1/c_2), तो युग्म की सही प्रकृति क्या है?

Question English:
If (a_1/a_2=b_1/b_2=c_1/c_2), what is the correct nature of the pair?

Options:
A. असंगत / Inconsistent
B. संगत और स्वतंत्र / Consistent and independent
C. संगत और आश्रित / Consistent and dependent
D. कोई हल नहीं / No solution

Correct Answer:
C. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
तीनों अनुपात बराबर हों तो दोनों समीकरण एक ही रेखा बनाते हैं। इसलिए युग्म संगत और आश्रित होता है।

Explanation English:
If all three ratios are equal, both equations form the same line. Therefore, the pair is consistent and dependent.

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (7x+9y=43) और (14x+18y=86) के ग्राफ के बारे में सही कथन कौन-सा है?

Which statement is correct about the graph of (7x+9y=43) and (14x+18y=86)?

Explanation opens after your attempt

Correct Answer

B. एक ही रेखाSame line

Step 1

Concept

The second equation is (2) times the first. Therefore both equations show the same line in the graph.

Step 2

Why this answer is correct

The correct answer is B. एक ही रेखा / Same line. The second equation is (2) times the first. Therefore both equations show the same line in the graph.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए ग्राफ में दोनों समीकरण एक ही रेखा दिखाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 60

Question Hindi:
समीकरण (7x+9y=43) और (14x+18y=86) के ग्राफ के बारे में सही कथन कौन-सा है?

Question English:
Which statement is correct about the graph of (7x+9y=43) and (14x+18y=86)?

Options:
A. अलग समानांतर रेखाएं / Distinct parallel lines
B. एक ही रेखा / Same line
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई हल नहीं / No solution

Correct Answer:
B. एक ही रेखा / Same line

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए ग्राफ में दोनों समीकरण एक ही रेखा दिखाते हैं।

Explanation English:
The second equation is (2) times the first. Therefore both equations show the same line in the graph.

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2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (12x+5y=41) और (24x+10y=82) को देखकर कौन-सा कथन सही है?

Which statement is correct by observing (12x+5y=41) and (24x+10y=82)?

Explanation opens after your attempt

Correct Answer

B. रेखाएं एक ही हैंLines are the same

Step 1

Concept

The second equation is (2) times the first. Therefore both lines are the same.

Step 2

Why this answer is correct

The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore both lines are the same.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 60

Question Hindi:
समीकरण (12x+5y=41) और (24x+10y=82) को देखकर कौन-सा कथन सही है?

Question English:
Which statement is correct by observing (12x+5y=41) and (24x+10y=82)?

Options:
A. रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B. रेखाएं एक ही हैं / Lines are the same
C. रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D. कोई हल नहीं है / There is no solution

Correct Answer:
B. रेखाएं एक ही हैं / Lines are the same

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

Explanation English:
The second equation is (2) times the first. Therefore both lines are the same.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (5x+6y=32) और (15x+18y=96) में तीनों अनुपातों का संबंध क्या है?

What is the relation among all three ratios in (5x+6y=32) and (15x+18y=96)?

Explanation opens after your attempt

Correct Answer

A. तीनों बराबर हैंAll three are equal

Step 1

Concept

Here (5/15=6/18=32/96). Therefore both equations form the same line.

Step 2

Why this answer is correct

The correct answer is A. तीनों बराबर हैं / All three are equal. Here (5/15=6/18=32/96). Therefore both equations form the same line.

Step 3

Exam Tip

यहां (5/15=6/18=32/96)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 60

Question Hindi:
समीकरण (5x+6y=32) और (15x+18y=96) में तीनों अनुपातों का संबंध क्या है?

Question English:
What is the relation among all three ratios in (5x+6y=32) and (15x+18y=96)?

Options:
A. तीनों बराबर हैं / All three are equal
B. पहले दो बराबर और तीसरा अलग है / First two are equal and third is different
C. पहले दो अलग हैं / First two are different
D. केवल स्थिर पद बराबर हैं / Only constants are equal

Correct Answer:
A. तीनों बराबर हैं / All three are equal

Explanation Hindi:
यहां (5/15=6/18=32/96)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

Explanation English:
Here (5/15=6/18=32/96). Therefore both equations form the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (16x+24y=88) और (2x+3y=11) का युग्म किस प्रकार का है?

What type of pair is (16x+24y=88) and (2x+3y=11)?

Explanation opens after your attempt

Correct Answer

A. संगत और आश्रितConsistent and dependent

Step 1

Concept

The first equation is (8) times the second. Therefore both are the same line and the pair is dependent.

Step 2

Why this answer is correct

The correct answer is A. संगत और आश्रित / Consistent and dependent. The first equation is (8) times the second. Therefore both are the same line and the pair is dependent.

Step 3

Exam Tip

पहला समीकरण दूसरे का (8) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 60

Question Hindi:
समीकरण (16x+24y=88) और (2x+3y=11) का युग्म किस प्रकार का है?

Question English:
What type of pair is (16x+24y=88) and (2x+3y=11)?

Options:
A. संगत और आश्रित / Consistent and dependent
B. असंगत / Inconsistent
C. संगत और स्वतंत्र / Consistent and independent
D. असमाधेय / Unsolvable

Correct Answer:
A. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
पहला समीकरण दूसरे का (8) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

Explanation English:
The first equation is (8) times the second. Therefore both are the same line and the pair is dependent.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (15x+10y=40) और (3x+2y=8) के ग्राफ में क्या दिखेगा?

What will be shown in the graph of (15x+10y=40) and (3x+2y=8)?

Explanation opens after your attempt

Correct Answer

A. एक ही रेखाSame line

Step 1

Concept

The first equation is (5) times the second. Therefore both equations show the same line.

Step 2

Why this answer is correct

The correct answer is A. एक ही रेखा / Same line. The first equation is (5) times the second. Therefore both equations show the same line.

Step 3

Exam Tip

पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 60

Question Hindi:
समीकरण (15x+10y=40) और (3x+2y=8) के ग्राफ में क्या दिखेगा?

Question English:
What will be shown in the graph of (15x+10y=40) and (3x+2y=8)?

Options:
A. एक ही रेखा / Same line
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई रेखा नहीं / No line

Correct Answer:
A. एक ही रेखा / Same line

Explanation Hindi:
पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

Explanation English:
The first equation is (5) times the second. Therefore both equations show the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

यदि \(a_1/a_2=b_1/b_2=c_1/c_2\) हो तो समीकरणों के युग्म की प्रकृति क्या होगी?

If \(a_1/a_2=b_1/b_2=c_1/c_2\) then what will be the nature of the pair of equations?

Explanation opens after your attempt

Correct Answer

C. संगत और आश्रितConsistent and dependent

Step 1

Concept

If all three ratios are equal both equations represent the same line. Such a pair is consistent and dependent.

Step 2

Why this answer is correct

The correct answer is C. संगत और आश्रित / Consistent and dependent. If all three ratios are equal both equations represent the same line. Such a pair is consistent and dependent.

Step 3

Exam Tip

तीनों अनुपात बराबर हों तो दोनों समीकरण एक ही रेखा दर्शाते हैं। ऐसा युग्म संगत और आश्रित होता है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 60

Question Hindi:
यदि (a_1/a_2=b_1/b_2=c_1/c_2) हो तो समीकरणों के युग्म की प्रकृति क्या होगी?

Question English:
If (a_1/a_2=b_1/b_2=c_1/c_2) then what will be the nature of the pair of equations?

Options:
A. असंगत / Inconsistent
B. संगत और स्वतंत्र / Consistent and independent
C. संगत और आश्रित / Consistent and dependent
D. कोई हल नहीं / No solution

Correct Answer:
C. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
तीनों अनुपात बराबर हों तो दोनों समीकरण एक ही रेखा दर्शाते हैं। ऐसा युग्म संगत और आश्रित होता है।

Explanation English:
If all three ratios are equal both equations represent the same line. Such a pair is consistent and dependent.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (9x+2y=31) और (18x+4y=62) को देखकर कौन-सा कथन सही है?

Which statement is correct by observing (9x+2y=31) and (18x+4y=62)?

Explanation opens after your attempt

Correct Answer

B. रेखाएं एक ही हैंLines are the same

Step 1

Concept

The second equation is (2) times the first. Therefore, both lines are the same.

Step 2

Why this answer is correct

The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore, both lines are the same.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 59

Question Hindi:
समीकरण (9x+2y=31) और (18x+4y=62) को देखकर कौन-सा कथन सही है?

Question English:
Which statement is correct by observing (9x+2y=31) and (18x+4y=62)?

Options:
A. रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B. रेखाएं एक ही हैं / Lines are the same
C. रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D. कोई हल नहीं है / There is no solution

Correct Answer:
B. रेखाएं एक ही हैं / Lines are the same

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

Explanation English:
The second equation is (2) times the first. Therefore, both lines are the same.

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1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (3x+4y=22) और (6x+8y=44) में तीनों अनुपातों का संबंध क्या है?

What is the relation among all three ratios in (3x+4y=22) and (6x+8y=44)?

Explanation opens after your attempt

Correct Answer

A. तीनों बराबर हैंAll three are equal

Step 1

Concept

Here (3/6=4/8=22/44). Therefore, both equations form the same line.

Step 2

Why this answer is correct

The correct answer is A. तीनों बराबर हैं / All three are equal. Here (3/6=4/8=22/44). Therefore, both equations form the same line.

Step 3

Exam Tip

यहां (3/6=4/8=22/44)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 59

Question Hindi:
समीकरण (3x+4y=22) और (6x+8y=44) में तीनों अनुपातों का संबंध क्या है?

Question English:
What is the relation among all three ratios in (3x+4y=22) and (6x+8y=44)?

Options:
A. तीनों बराबर हैं / All three are equal
B. पहले दो बराबर और तीसरा अलग है / First two are equal and third is different
C. पहले दो अलग हैं / First two are different
D. केवल स्थिर पद बराबर हैं / Only constants are equal

Correct Answer:
A. तीनों बराबर हैं / All three are equal

Explanation Hindi:
यहां (3/6=4/8=22/44)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

Explanation English:
Here (3/6=4/8=22/44). Therefore, both equations form the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (14x+21y=70) और (2x+3y=10) का युग्म किस प्रकार का है?

What type of pair is (14x+21y=70) and (2x+3y=10)?

Explanation opens after your attempt

Correct Answer

A. संगत और आश्रितConsistent and dependent

Step 1

Concept

The first equation is (7) times the second. Therefore, both are the same line and the pair is dependent.

Step 2

Why this answer is correct

The correct answer is A. संगत और आश्रित / Consistent and dependent. The first equation is (7) times the second. Therefore, both are the same line and the pair is dependent.

Step 3

Exam Tip

पहला समीकरण दूसरे का (7) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

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AI Video Prompt 16:9 + 9:16

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Question Page:
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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 59

Question Hindi:
समीकरण (14x+21y=70) और (2x+3y=10) का युग्म किस प्रकार का है?

Question English:
What type of pair is (14x+21y=70) and (2x+3y=10)?

Options:
A. संगत और आश्रित / Consistent and dependent
B. असंगत / Inconsistent
C. संगत और स्वतंत्र / Consistent and independent
D. असमाधेय / Unsolvable

Correct Answer:
A. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
पहला समीकरण दूसरे का (7) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

Explanation English:
The first equation is (7) times the second. Therefore, both are the same line and the pair is dependent.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (12x+8y=44) और (3x+2y=11) के ग्राफ में क्या दिखेगा?

What will be shown in the graph of (12x+8y=44) and (3x+2y=11)?

Explanation opens after your attempt

Correct Answer

A. एक ही रेखाSame line

Step 1

Concept

The first equation is (4) times the second. Therefore, both equations show the same line.

Step 2

Why this answer is correct

The correct answer is A. एक ही रेखा / Same line. The first equation is (4) times the second. Therefore, both equations show the same line.

Step 3

Exam Tip

पहला समीकरण दूसरे का (4) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 59

Question Hindi:
समीकरण (12x+8y=44) और (3x+2y=11) के ग्राफ में क्या दिखेगा?

Question English:
What will be shown in the graph of (12x+8y=44) and (3x+2y=11)?

Options:
A. एक ही रेखा / Same line
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई रेखा नहीं / No line

Correct Answer:
A. एक ही रेखा / Same line

Explanation Hindi:
पहला समीकरण दूसरे का (4) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

Explanation English:
The first equation is (4) times the second. Therefore, both equations show the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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- Make 16:9 version for YouTube/Facebook.
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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि \(a_1/a_2=b_1/b_2=c_1/c_2\), तो युग्म का वर्गीकरण क्या होगा?

If \(a_1/a_2=b_1/b_2=c_1/c_2\), what will be the classification of the pair?

Explanation opens after your attempt

Correct Answer

C. संगत और आश्रितConsistent and dependent

Step 1

Concept

When all three ratios are equal, both equations form the same line. Therefore, the pair is consistent and dependent.

Step 2

Why this answer is correct

The correct answer is C. संगत और आश्रित / Consistent and dependent. When all three ratios are equal, both equations form the same line. Therefore, the pair is consistent and dependent.

Step 3

Exam Tip

तीनों अनुपात बराबर होने पर दोनों समीकरण एक ही रेखा बनाते हैं। इसलिए युग्म संगत और आश्रित होता है।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 59

Question Hindi:
यदि (a_1/a_2=b_1/b_2=c_1/c_2), तो युग्म का वर्गीकरण क्या होगा?

Question English:
If (a_1/a_2=b_1/b_2=c_1/c_2), what will be the classification of the pair?

Options:
A. असंगत / Inconsistent
B. संगत और स्वतंत्र / Consistent and independent
C. संगत और आश्रित / Consistent and dependent
D. कोई हल नहीं / No solution

Correct Answer:
C. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
तीनों अनुपात बराबर होने पर दोनों समीकरण एक ही रेखा बनाते हैं। इसलिए युग्म संगत और आश्रित होता है।

Explanation English:
When all three ratios are equal, both equations form the same line. Therefore, the pair is consistent and dependent.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (8x+3y=17) और (16x+6y=34) को देखकर कौन-सा कथन सही है?

Which statement is correct by observing (8x+3y=17) and (16x+6y=34)?

Explanation opens after your attempt

Correct Answer

B. रेखाएं एक ही हैंLines are the same

Step 1

Concept

The second equation is (2) times the first. Therefore, both lines are the same.

Step 2

Why this answer is correct

The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore, both lines are the same.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 58

Question Hindi:
समीकरण (8x+3y=17) और (16x+6y=34) को देखकर कौन-सा कथन सही है?

Question English:
Which statement is correct by observing (8x+3y=17) and (16x+6y=34)?

Options:
A. रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B. रेखाएं एक ही हैं / Lines are the same
C. रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D. कोई हल नहीं है / There is no solution

Correct Answer:
B. रेखाएं एक ही हैं / Lines are the same

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।

Explanation English:
The second equation is (2) times the first. Therefore, both lines are the same.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (2x+3y=13) और (4x+6y=26) के लिए \(a_1/a_2\), \(b_1/b_2\) और स्थिर पद अनुपात का संबंध क्या है?

For (2x+3y=13) and (4x+6y=26), what is the relation among \(a_1/a_2\), \(b_1/b_2\), and the constant ratio?

Explanation opens after your attempt

Correct Answer

A. तीनों बराबर हैंAll three are equal

Step 1

Concept

Here (2/4=3/6=13/26). Therefore, both equations form the same line.

Step 2

Why this answer is correct

The correct answer is A. तीनों बराबर हैं / All three are equal. Here (2/4=3/6=13/26). Therefore, both equations form the same line.

Step 3

Exam Tip

यहां (2/4=3/6=13/26)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 58

Question Hindi:
समीकरण (2x+3y=13) और (4x+6y=26) के लिए (a_1/a_2), (b_1/b_2) और स्थिर पद अनुपात का संबंध क्या है?

Question English:
For (2x+3y=13) and (4x+6y=26), what is the relation among (a_1/a_2), (b_1/b_2), and the constant ratio?

Options:
A. तीनों बराबर हैं / All three are equal
B. पहले दो बराबर और तीसरा अलग है / First two are equal and third is different
C. पहले दो अलग हैं / First two are different
D. केवल स्थिर पद बराबर हैं / Only constants are equal

Correct Answer:
A. तीनों बराबर हैं / All three are equal

Explanation Hindi:
यहां (2/4=3/6=13/26)। इसलिए दोनों समीकरण एक ही रेखा बनाते हैं।

Explanation English:
Here (2/4=3/6=13/26). Therefore, both equations form the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (12x+18y=30) और (2x+3y=5) का युग्म किस प्रकार का है?

What type of pair is (12x+18y=30) and (2x+3y=5)?

Explanation opens after your attempt

Correct Answer

A. संगत और आश्रितConsistent and dependent

Step 1

Concept

The first equation is (6) times the second. Therefore, both are the same line and the pair is dependent.

Step 2

Why this answer is correct

The correct answer is A. संगत और आश्रित / Consistent and dependent. The first equation is (6) times the second. Therefore, both are the same line and the pair is dependent.

Step 3

Exam Tip

पहला समीकरण दूसरे का (6) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

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AI Video Prompt 16:9 + 9:16

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Question Page:
https://muftshiksha.com/question/what-type-of-pair-is-12x-18y-30-and-2x-3y-5

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 58

Question Hindi:
समीकरण (12x+18y=30) और (2x+3y=5) का युग्म किस प्रकार का है?

Question English:
What type of pair is (12x+18y=30) and (2x+3y=5)?

Options:
A. संगत और आश्रित / Consistent and dependent
B. असंगत / Inconsistent
C. संगत और स्वतंत्र / Consistent and independent
D. असमाधेय / Unsolvable

Correct Answer:
A. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
पहला समीकरण दूसरे का (6) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

Explanation English:
The first equation is (6) times the second. Therefore, both are the same line and the pair is dependent.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
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Open Question

Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (9x+6y=15) और (3x+2y=5) के ग्राफ में क्या दिखेगा?

What will be shown in the graph of (9x+6y=15) and (3x+2y=5)?

Explanation opens after your attempt

Correct Answer

A. एक ही रेखाSame line

Step 1

Concept

The first equation is (3) times the second. Therefore, both equations show the same line.

Step 2

Why this answer is correct

The correct answer is A. एक ही रेखा / Same line. The first equation is (3) times the second. Therefore, both equations show the same line.

Step 3

Exam Tip

पहला समीकरण दूसरे का (3) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

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AI Video Prompt 16:9 + 9:16

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Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

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Question Page:
https://muftshiksha.com/question/what-will-be-shown-in-the-graph-of-9x-6y-15-and-3x-2y-5

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 58

Question Hindi:
समीकरण (9x+6y=15) और (3x+2y=5) के ग्राफ में क्या दिखेगा?

Question English:
What will be shown in the graph of (9x+6y=15) and (3x+2y=5)?

Options:
A. एक ही रेखा / Same line
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई रेखा नहीं / No line

Correct Answer:
A. एक ही रेखा / Same line

Explanation Hindi:
पहला समीकरण दूसरे का (3) गुना है। इसलिए दोनों समीकरण एक ही रेखा दिखाते हैं।

Explanation English:
The first equation is (3) times the second. Therefore, both equations show the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

यदि \(a_1/a_2=b_1/b_2=c_1/c_2\), तो ग्राफ में दोनों रेखाओं की स्थिति क्या होगी?

If \(a_1/a_2=b_1/b_2=c_1/c_2\), what will be the position of both lines in the graph?

Explanation opens after your attempt

Correct Answer

C. संपातीCoincident

Step 1

Concept

When all three ratios are equal, both equations represent the same line. Such a pair has infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. संपाती / Coincident. When all three ratios are equal, both equations represent the same line. Such a pair has infinitely many solutions.

Step 3

Exam Tip

तीनों अनुपात बराबर होने पर दोनों समीकरण एक ही रेखा दर्शाते हैं। ऐसे युग्म में अनंत हल होते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Medium
Level: 58

Question Hindi:
यदि (a_1/a_2=b_1/b_2=c_1/c_2), तो ग्राफ में दोनों रेखाओं की स्थिति क्या होगी?

Question English:
If (a_1/a_2=b_1/b_2=c_1/c_2), what will be the position of both lines in the graph?

Options:
A. अलग समानांतर / Distinct parallel
B. कटती हुई / Intersecting
C. संपाती / Coincident
D. लंबवत / Perpendicular

Correct Answer:
C. संपाती / Coincident

Explanation Hindi:
तीनों अनुपात बराबर होने पर दोनों समीकरण एक ही रेखा दर्शाते हैं। ऐसे युग्म में अनंत हल होते हैं।

Explanation English:
When all three ratios are equal, both equations represent the same line. Such a pair has infinitely many solutions.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

यदि (2) समीकरणों में \(a_1/a_2=b_1/b_2\) हो और \(c_1/c_2\) भी वही हो तो क्या होगा?

If (2) equations have \(a_1/a_2=b_1/b_2\) and \(c_1/c_2\) is also the same then what happens?

Explanation opens after your attempt

Correct Answer

C. अनंत हलInfinitely many solutions

Step 1

Concept

When all three ratios are equal the equations make the same line. Therefore the solutions are infinite.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल / Infinitely many solutions. When all three ratios are equal the equations make the same line. Therefore the solutions are infinite.

Step 3

Exam Tip

तीनों अनुपात बराबर होने पर समीकरण समान रेखा बनाते हैं। इसलिए हल अनंत होते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
यदि (2) समीकरणों में (a_1/a_2=b_1/b_2) हो और (c_1/c_2) भी वही हो तो क्या होगा?

Question English:
If (2) equations have (a_1/a_2=b_1/b_2) and (c_1/c_2) is also the same then what happens?

Options:
A. कोई हल नहीं / No solution
B. एक अद्वितीय हल / One unique solution
C. अनंत हल / Infinitely many solutions
D. रेखाएं अलग समानांतर / Lines distinct parallel

Correct Answer:
C. अनंत हल / Infinitely many solutions

Explanation Hindi:
तीनों अनुपात बराबर होने पर समीकरण समान रेखा बनाते हैं। इसलिए हल अनंत होते हैं।

Explanation English:
When all three ratios are equal the equations make the same line. Therefore the solutions are infinite.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (15x+10y=5) और (3x+2y=1) के लिए सही कथन चुनिए।

Choose the correct statement for (15x+10y=5) and (3x+2y=1).

Explanation opens after your attempt

Correct Answer

C. अनंत हल हैंThere are infinitely many solutions

Step 1

Concept

The first equation is (5) times the second. Therefore both equations represent the same line.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल हैं / There are infinitely many solutions. The first equation is (5) times the second. Therefore both equations represent the same line.

Step 3

Exam Tip

पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दर्शाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
समीकरण (15x+10y=5) और (3x+2y=1) के लिए सही कथन चुनिए।

Question English:
Choose the correct statement for (15x+10y=5) and (3x+2y=1).

Options:
A. कोई हल नहीं है / There is no solution
B. एक अद्वितीय हल है / There is one unique solution
C. अनंत हल हैं / There are infinitely many solutions
D. रेखाएं अलग समानांतर हैं / Lines are distinct parallel

Correct Answer:
C. अनंत हल हैं / There are infinitely many solutions

Explanation Hindi:
पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों समीकरण एक ही रेखा दर्शाते हैं।

Explanation English:
The first equation is (5) times the second. Therefore both equations represent the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (4x-7y=3) और (8x-13y=6) के लिए सही हल-स्थिति क्या है?

What is the correct solution status for (4x-7y=3) and (8x-13y=6)?

Explanation opens after your attempt

Correct Answer

B. एक अद्वितीय हलOne unique solution

Step 1

Concept

Here (4/8 \ne (-7)/(-13)) so the lines intersect. Hence there is one unique solution.

Step 2

Why this answer is correct

The correct answer is B. एक अद्वितीय हल / One unique solution. Here (4/8 \ne (-7)/(-13)) so the lines intersect. Hence there is one unique solution.

Step 3

Exam Tip

यहां (4/8 \ne (-7)/(-13)) इसलिए रेखाएं कटती हैं। अतः एक अद्वितीय हल है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
समीकरण (4x-7y=3) और (8x-13y=6) के लिए सही हल-स्थिति क्या है?

Question English:
What is the correct solution status for (4x-7y=3) and (8x-13y=6)?

Options:
A. कोई हल नहीं / No solution
B. एक अद्वितीय हल / One unique solution
C. अनंत हल / Infinitely many solutions
D. समान रेखा / Same line

Correct Answer:
B. एक अद्वितीय हल / One unique solution

Explanation Hindi:
यहां (4/8 \ne (-7)/(-13)) इसलिए रेखाएं कटती हैं। अतः एक अद्वितीय हल है।

Explanation English:
Here (4/8 \ne (-7)/(-13)) so the lines intersect. Hence there is one unique solution.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (2x+3y=5) और (4x+6y=10) को देखकर सबसे तेज निष्कर्ष क्या है?

What is the quickest conclusion by observing (2x+3y=5) and (4x+6y=10)?

Explanation opens after your attempt

Correct Answer

C. दूसरा पहले का (2) गुना है इसलिए अनंत हल हैंThe second is (2) times the first so infinitely many solutions

Step 1

Concept

All terms are multiplied by (2) so the equations give the same line. In such questions identifying the multiplier is the fastest method.

Step 2

Why this answer is correct

The correct answer is C. दूसरा पहले का (2) गुना है इसलिए अनंत हल हैं / The second is (2) times the first so infinitely many solutions. All terms are multiplied by (2) so the equations give the same line. In such questions identifying the multiplier is the fastest method.

Step 3

Exam Tip

सभी पद (2) गुना हो गए हैं इसलिए समीकरण समान रेखा देते हैं। ऐसे सवाल में गुणक पहचानना सबसे तेज तरीका है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
समीकरण (2x+3y=5) और (4x+6y=10) को देखकर सबसे तेज निष्कर्ष क्या है?

Question English:
What is the quickest conclusion by observing (2x+3y=5) and (4x+6y=10)?

Options:
A. रेखाएं अलग समानांतर हैं / Lines are distinct parallel
B. रेखाएं कटती हैं / Lines intersect
C. दूसरा पहले का (2) गुना है इसलिए अनंत हल हैं / The second is (2) times the first so infinitely many solutions
D. कोई हल नहीं / No solution

Correct Answer:
C. दूसरा पहले का (2) गुना है इसलिए अनंत हल हैं / The second is (2) times the first so infinitely many solutions

Explanation Hindi:
सभी पद (2) गुना हो गए हैं इसलिए समीकरण समान रेखा देते हैं। ऐसे सवाल में गुणक पहचानना सबसे तेज तरीका है।

Explanation English:
All terms are multiplied by (2) so the equations give the same line. In such questions identifying the multiplier is the fastest method.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

नीचे में से कौन-सा युग्म संगत और आश्रित है?

Which of the following pairs is consistent and dependent?

Explanation opens after your attempt

Correct Answer

B. (x-2y=5) और (3x-6y=15)(x-2y=5) and (3x-6y=15)

Step 1

Concept

In the second option the second equation is (3) times the first. Therefore both are the same line and the pair is dependent.

Step 2

Why this answer is correct

The correct answer is B. (x-2y=5) और (3x-6y=15) / (x-2y=5) and (3x-6y=15). In the second option the second equation is (3) times the first. Therefore both are the same line and the pair is dependent.

Step 3

Exam Tip

दूसरे विकल्प में दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

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Question Page:
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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
नीचे में से कौन-सा युग्म संगत और आश्रित है?

Question English:
Which of the following pairs is consistent and dependent?

Options:
A. (2x+y=7) और (4x+3y=14) / (2x+y=7) and (4x+3y=14)
B. (x-2y=5) और (3x-6y=15) / (x-2y=5) and (3x-6y=15)
C. (x+y=3) और (2x+2y=7) / (x+y=3) and (2x+2y=7)
D. (3x+5y=8) और (x+2y=6) / (3x+5y=8) and (x+2y=6)

Correct Answer:
B. (x-2y=5) और (3x-6y=15) / (x-2y=5) and (3x-6y=15)

Explanation Hindi:
दूसरे विकल्प में दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों एक ही रेखा हैं और युग्म आश्रित है।

Explanation English:
In the second option the second equation is (3) times the first. Therefore both are the same line and the pair is dependent.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (2x+4y=10) और (x+2y=7) का ग्राफ कैसा होगा?

What will be the graph of (2x+4y=10) and (x+2y=7)?

Explanation opens after your attempt

Correct Answer

C. समानांतर अलग रेखाएंDistinct parallel lines

Step 1

Concept

Here (2/1=4/2) but (10/7) is different. Therefore the graph will show distinct parallel lines.

Step 2

Why this answer is correct

The correct answer is C. समानांतर अलग रेखाएं / Distinct parallel lines. Here (2/1=4/2) but (10/7) is different. Therefore the graph will show distinct parallel lines.

Step 3

Exam Tip

यहां (2/1=4/2) लेकिन (10/7) अलग है। इसलिए ग्राफ में अलग समानांतर रेखाएं मिलेंगी।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
समीकरण (2x+4y=10) और (x+2y=7) का ग्राफ कैसा होगा?

Question English:
What will be the graph of (2x+4y=10) and (x+2y=7)?

Options:
A. एक ही रेखा / Same line
B. कटती रेखाएं / Intersecting lines
C. समानांतर अलग रेखाएं / Distinct parallel lines
D. लंबवत रेखाएं / Perpendicular lines

Correct Answer:
C. समानांतर अलग रेखाएं / Distinct parallel lines

Explanation Hindi:
यहां (2/1=4/2) लेकिन (10/7) अलग है। इसलिए ग्राफ में अलग समानांतर रेखाएं मिलेंगी।

Explanation English:
Here (2/1=4/2) but (10/7) is different. Therefore the graph will show distinct parallel lines.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (x+2y=6) और (3x+6y=18) का ग्राफ कैसा होगा?

What will be the graph of (x+2y=6) and (3x+6y=18)?

Explanation opens after your attempt

Correct Answer

B. एक ही रेखाSame line

Step 1

Concept

The second equation is (3) times the first. Therefore both lines will appear as the same line in the graph.

Step 2

Why this answer is correct

The correct answer is B. एक ही रेखा / Same line. The second equation is (3) times the first. Therefore both lines will appear as the same line in the graph.

Step 3

Exam Tip

दूसरा समीकरण पहले का (3) गुना है। इसलिए ग्राफ में दोनों रेखाएं एक ही दिखाई देंगी।

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Question Page:
https://muftshiksha.com/question/what-will-be-the-graph-of-x-2y-6-and-3x-6y-18

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
समीकरण (x+2y=6) और (3x+6y=18) का ग्राफ कैसा होगा?

Question English:
What will be the graph of (x+2y=6) and (3x+6y=18)?

Options:
A. दो कटती रेखाएं / Two intersecting lines
B. एक ही रेखा / Same line
C. दो अलग समानांतर रेखाएं / Two distinct parallel lines
D. कोई हल नहीं / No solution

Correct Answer:
B. एक ही रेखा / Same line

Explanation Hindi:
दूसरा समीकरण पहले का (3) गुना है। इसलिए ग्राफ में दोनों रेखाएं एक ही दिखाई देंगी।

Explanation English:
The second equation is (3) times the first. Therefore both lines will appear as the same line in the graph.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (11x+6y=19) और (5x+3y=8) के लिए सही निष्कर्ष चुनिए।

Choose the correct conclusion for (11x+6y=19) and (5x+3y=8).

Explanation opens after your attempt

Correct Answer

A. एक अद्वितीय हलOne unique solution

Step 1

Concept

Here \(11/5 \ne 6/3\) so the lines will intersect. In exams write unique solution when the first two ratios are different.

Step 2

Why this answer is correct

The correct answer is A. एक अद्वितीय हल / One unique solution. Here \(11/5 \ne 6/3\) so the lines will intersect. In exams write unique solution when the first two ratios are different.

Step 3

Exam Tip

यहां \(11/5 \ne 6/3\) इसलिए रेखाएं कटेंगी। परीक्षा में अलग पहले दो अनुपात देखकर unique solution लिखें।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
समीकरण (11x+6y=19) और (5x+3y=8) के लिए सही निष्कर्ष चुनिए।

Question English:
Choose the correct conclusion for (11x+6y=19) and (5x+3y=8).

Options:
A. एक अद्वितीय हल / One unique solution
B. कोई हल नहीं / No solution
C. अनंत हल / Infinitely many solutions
D. समान रेखा / Same line

Correct Answer:
A. एक अद्वितीय हल / One unique solution

Explanation Hindi:
यहां (11/5 \ne 6/3) इसलिए रेखाएं कटेंगी। परीक्षा में अलग पहले दो अनुपात देखकर unique solution लिखें।

Explanation English:
Here (11/5 \ne 6/3) so the lines will intersect. In exams write unique solution when the first two ratios are different.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (3x-2y=6) और (12x-8y=24) के लिए कौन-सा विकल्प सही है?

Which option is correct for (3x-2y=6) and (12x-8y=24)?

Explanation opens after your attempt

Correct Answer

C. संपाती रेखाएं और अनंत हलCoincident lines and infinitely many solutions

Step 1

Concept

The second equation is (4) times the first. Therefore both equations represent the same line.

Step 2

Why this answer is correct

The correct answer is C. संपाती रेखाएं और अनंत हल / Coincident lines and infinitely many solutions. The second equation is (4) times the first. Therefore both equations represent the same line.

Step 3

Exam Tip

दूसरा समीकरण पहले का (4) गुना है। इसलिए दोनों समीकरण एक ही रेखा को दर्शाते हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
समीकरण (3x-2y=6) और (12x-8y=24) के लिए कौन-सा विकल्प सही है?

Question English:
Which option is correct for (3x-2y=6) and (12x-8y=24)?

Options:
A. कोई हल नहीं / No solution
B. एक अद्वितीय हल / One unique solution
C. संपाती रेखाएं और अनंत हल / Coincident lines and infinitely many solutions
D. अलग समानांतर रेखाएं / Distinct parallel lines

Correct Answer:
C. संपाती रेखाएं और अनंत हल / Coincident lines and infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (4) गुना है। इसलिए दोनों समीकरण एक ही रेखा को दर्शाते हैं।

Explanation English:
The second equation is (4) times the first. Therefore both equations represent the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

किस स्थिति में दो रैखिक समीकरणों का युग्म संगत और आश्रित कहलाता है?

In which condition is a pair of two linear equations called consistent and dependent?

Explanation opens after your attempt

Correct Answer

A. जब (a_1a_2=b_1 / b_2=c_1 / c_2) हो / When \(a_1 / c_2\)

Step 1

Concept

If all three ratios are equal both equations represent the same line. This is a consistent and dependent pair.

Step 2

Why this answer is correct

The correct answer is A. जब \(a_1 / a_2=b_1 / b_2=c_1 / c_2\) हो / When \(a_1 / c_2\). If all three ratios are equal both equations represent the same line. This is a consistent and dependent pair.

Step 3

Exam Tip

तीनों अनुपात बराबर हों तो दोनों समीकरण समान रेखा दर्शाते हैं। यही संगत और आश्रित युग्म है।

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AI Video Prompt 16:9 + 9:16

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Question Page:
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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
किस स्थिति में दो रैखिक समीकरणों का युग्म संगत और आश्रित कहलाता है?

Question English:
In which condition is a pair of two linear equations called consistent and dependent?

Options:
A. जब (a_1 / a_2=b_1 / b_2=c_1 / c_2) हो / When (a_1 / c_2)
B. जब (a_1 / a_2 \ne b_1 / b_2) हो / When (a_1 / b_2)
C. जब (a_1 / a_2=b_1 / b_2 \ne c_1 / c_2) हो / When (a_1 / c_2)
D. जब रेखाएं कटती हों / When lines intersect

Correct Answer:
A. जब (a_1 / a_2=b_1 / b_2=c_1 / c_2) हो / When (a_1 / c_2)

Explanation Hindi:
तीनों अनुपात बराबर हों तो दोनों समीकरण समान रेखा दर्शाते हैं। यही संगत और आश्रित युग्म है।

Explanation English:
If all three ratios are equal both equations represent the same line. This is a consistent and dependent pair.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (7x+4y=20) और (14x+8y=40) के लिए सही कथन चुनिए।

Choose the correct statement for (7x+4y=20) and (14x+8y=40).

Explanation opens after your attempt

Correct Answer

C. अनंत हल हैंThere are infinitely many solutions

Step 1

Concept

The second equation is (2) times the first so both lines are the same. The same line gives infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल हैं / There are infinitely many solutions. The second equation is (2) times the first so both lines are the same. The same line gives infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है इसलिए दोनों रेखाएं एक ही हैं। समान रेखा अनंत हल देती है।

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AI Video Prompt 16:9 + 9:16

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- Name: Muft Shiksha
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Question Page:
https://muftshiksha.com/question/choose-the-correct-statement-for-7x-4y-20-and-14x-8y-40

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
समीकरण (7x+4y=20) और (14x+8y=40) के लिए सही कथन चुनिए।

Question English:
Choose the correct statement for (7x+4y=20) and (14x+8y=40).

Options:
A. कोई हल नहीं है / There is no solution
B. एक अद्वितीय हल है / There is one unique solution
C. अनंत हल हैं / There are infinitely many solutions
D. रेखाएं अलग समानांतर हैं / Lines are distinct parallel

Correct Answer:
C. अनंत हल हैं / There are infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है इसलिए दोनों रेखाएं एक ही हैं। समान रेखा अनंत हल देती है।

Explanation English:
The second equation is (2) times the first so both lines are the same. The same line gives infinitely many solutions.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (6x+2y=8) और (3x+y=5) के लिए सही विकल्प कौन-सा है?

Which option is correct for (6x+2y=8) and (3x+y=5)?

Explanation opens after your attempt

Correct Answer

C. कोई हल नहींNo solution

Step 1

Concept

Here (6/3=2/1) but (8/5) is different. Therefore the lines are parallel and distinct.

Step 2

Why this answer is correct

The correct answer is C. कोई हल नहीं / No solution. Here (6/3=2/1) but (8/5) is different. Therefore the lines are parallel and distinct.

Step 3

Exam Tip

यहां (6/3=2/1) लेकिन (8/5) अलग है। इसलिए रेखाएं समानांतर और अलग हैं।

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Question Page:
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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
समीकरण (6x+2y=8) और (3x+y=5) के लिए सही विकल्प कौन-सा है?

Question English:
Which option is correct for (6x+2y=8) and (3x+y=5)?

Options:
A. अनंत हल / Infinitely many solutions
B. एक अद्वितीय हल / One unique solution
C. कोई हल नहीं / No solution
D. समान रेखा / Same line

Correct Answer:
C. कोई हल नहीं / No solution

Explanation Hindi:
यहां (6/3=2/1) लेकिन (8/5) अलग है। इसलिए रेखाएं समानांतर और अलग हैं।

Explanation English:
Here (6/3=2/1) but (8/5) is different. Therefore the lines are parallel and distinct.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

यदि \(a_1/a_2=b_1/b_2=c_1/c_2\) हो तो ग्राफ में क्या दिखाई देगा?

If \(a_1/a_2=b_1/b_2=c_1/c_2\) then what will appear in the graph?

Explanation opens after your attempt

Correct Answer

C. एक ही रेखाSame line

Step 1

Concept

When all three ratios are equal both equations make the same line. This situation has infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. एक ही रेखा / Same line. When all three ratios are equal both equations make the same line. This situation has infinitely many solutions.

Step 3

Exam Tip

तीनों अनुपात बराबर होने पर दोनों समीकरण एक ही रेखा बनाते हैं। ऐसी स्थिति में अनंत हल होते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 60

Question Hindi:
यदि (a_1/a_2=b_1/b_2=c_1/c_2) हो तो ग्राफ में क्या दिखाई देगा?

Question English:
If (a_1/a_2=b_1/b_2=c_1/c_2) then what will appear in the graph?

Options:
A. दो कटती रेखाएं / Two intersecting lines
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक ही रेखा / Same line
D. कोई रेखा नहीं / No line

Correct Answer:
C. एक ही रेखा / Same line

Explanation Hindi:
तीनों अनुपात बराबर होने पर दोनों समीकरण एक ही रेखा बनाते हैं। ऐसी स्थिति में अनंत हल होते हैं।

Explanation English:
When all three ratios are equal both equations make the same line. This situation has infinitely many solutions.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (x-5y=1) और (2x-10y=2) के लिए सही निष्कर्ष क्या है?

What is the correct conclusion for (x-5y=1) and (2x-10y=2)?

Explanation opens after your attempt

Correct Answer

C. अनंत हलInfinitely many solutions

Step 1

Concept

The second equation is (2) times the first. Therefore both equations represent the same line.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (2) times the first. Therefore both equations represent the same line.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों समीकरण समान रेखा दर्शाते हैं।

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AI Video Prompt 16:9 + 9:16

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- Website: https://muftshiksha.com
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Question Page:
https://muftshiksha.com/question/what-is-the-correct-conclusion-for-x-5y-1-and-2x-10y-2

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
समीकरण (x-5y=1) और (2x-10y=2) के लिए सही निष्कर्ष क्या है?

Question English:
What is the correct conclusion for (x-5y=1) and (2x-10y=2)?

Options:
A. कोई हल नहीं / No solution
B. एक अद्वितीय हल / One unique solution
C. अनंत हल / Infinitely many solutions
D. रेखाएं अलग समानांतर हैं / Lines are distinct parallel

Correct Answer:
C. अनंत हल / Infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों समीकरण समान रेखा दर्शाते हैं।

Explanation English:
The second equation is (2) times the first. Therefore both equations represent the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (10x+5y=30) और (2x+y=7) के लिए सही हल-स्थिति चुनिए।

Choose the correct solution status for (10x+5y=30) and (2x+y=7).

Explanation opens after your attempt

Correct Answer

B. कोई हल नहींNo solution

Step 1

Concept

Here (10/2=5/1) but (30/7) is different. Therefore the lines are parallel and distinct.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं / No solution. Here (10/2=5/1) but (30/7) is different. Therefore the lines are parallel and distinct.

Step 3

Exam Tip

यहां (10/2=5/1) लेकिन (30/7) अलग है। इसलिए रेखाएं समानांतर और अलग हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
समीकरण (10x+5y=30) और (2x+y=7) के लिए सही हल-स्थिति चुनिए।

Question English:
Choose the correct solution status for (10x+5y=30) and (2x+y=7).

Options:
A. अनंत हल / Infinitely many solutions
B. कोई हल नहीं / No solution
C. एक अद्वितीय हल / One unique solution
D. समान रेखा / Same line

Correct Answer:
B. कोई हल नहीं / No solution

Explanation Hindi:
यहां (10/2=5/1) लेकिन (30/7) अलग है। इसलिए रेखाएं समानांतर और अलग हैं।

Explanation English:
Here (10/2=5/1) but (30/7) is different. Therefore the lines are parallel and distinct.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

संगत और आश्रित युग्म में हलों की संख्या क्या होती है?

How many solutions are there in a consistent and dependent pair?

Explanation opens after your attempt

Correct Answer

D. अनंत हलInfinitely many solutions

Step 1

Concept

In a consistent and dependent pair both equations represent the same line. Therefore every common point is a solution.

Step 2

Why this answer is correct

The correct answer is D. अनंत हल / Infinitely many solutions. In a consistent and dependent pair both equations represent the same line. Therefore every common point is a solution.

Step 3

Exam Tip

संगत और आश्रित युग्म में दोनों समीकरण एक ही रेखा दर्शाते हैं। इसलिए हर सामान्य बिंदु हल होता है।

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AI Video Prompt 16:9 + 9:16

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Question Page:
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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
संगत और आश्रित युग्म में हलों की संख्या क्या होती है?

Question English:
How many solutions are there in a consistent and dependent pair?

Options:
A. एक हल / One solution
B. कोई हल नहीं / No solution
C. ठीक दो हल / Exactly two solutions
D. अनंत हल / Infinitely many solutions

Correct Answer:
D. अनंत हल / Infinitely many solutions

Explanation Hindi:
संगत और आश्रित युग्म में दोनों समीकरण एक ही रेखा दर्शाते हैं। इसलिए हर सामान्य बिंदु हल होता है।

Explanation English:
In a consistent and dependent pair both equations represent the same line. Therefore every common point is a solution.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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- Make 9:16 version for Shorts/Reels.
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- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

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Open Question

Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (4x+7y=2) और (8x+13y=5) का ग्राफ किसे दिखाएगा?

What will the graph of (4x+7y=2) and (8x+13y=5) show?

Explanation opens after your attempt

Correct Answer

C. एक बिंदु पर कटती रेखाएंLines intersecting at one point

Step 1

Concept

Here \(4/8 \ne 7/13\) so the slopes are different. Lines with different slopes intersect at one point.

Step 2

Why this answer is correct

The correct answer is C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point. Here \(4/8 \ne 7/13\) so the slopes are different. Lines with different slopes intersect at one point.

Step 3

Exam Tip

यहां \(4/8 \ne 7/13\) इसलिए ढालें अलग हैं। अलग ढाल वाली रेखाएं एक बिंदु पर कटती हैं।

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AI Video Prompt 16:9 + 9:16

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- Website: https://muftshiksha.com
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Question Page:
https://muftshiksha.com/question/what-will-the-graph-of-4x-7y-2-and-8x-13y-5-show

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
समीकरण (4x+7y=2) और (8x+13y=5) का ग्राफ किसे दिखाएगा?

Question English:
What will the graph of (4x+7y=2) and (8x+13y=5) show?

Options:
A. एक ही रेखा / Same line
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point
D. कोई रेखा नहीं / No line

Correct Answer:
C. एक बिंदु पर कटती रेखाएं / Lines intersecting at one point

Explanation Hindi:
यहां (4/8 \ne 7/13) इसलिए ढालें अलग हैं। अलग ढाल वाली रेखाएं एक बिंदु पर कटती हैं।

Explanation English:
Here (4/8 \ne 7/13) so the slopes are different. Lines with different slopes intersect at one point.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (x+2y=8) और (3x+6y=24) का ग्राफ कैसा होगा?

What will be the graph of (x+2y=8) and (3x+6y=24)?

Explanation opens after your attempt

Correct Answer

A. एक ही रेखाSame line

Step 1

Concept

The second equation is (3) times the first. Therefore both will be the same line in the graph.

Step 2

Why this answer is correct

The correct answer is A. एक ही रेखा / Same line. The second equation is (3) times the first. Therefore both will be the same line in the graph.

Step 3

Exam Tip

दूसरा समीकरण पहले का (3) गुना है। इसलिए ग्राफ में दोनों एक ही रेखा होंगे।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
समीकरण (x+2y=8) और (3x+6y=24) का ग्राफ कैसा होगा?

Question English:
What will be the graph of (x+2y=8) and (3x+6y=24)?

Options:
A. एक ही रेखा / Same line
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. दो कटती रेखाएं / Two intersecting lines
D. दो लंबवत रेखाएं / Two perpendicular lines

Correct Answer:
A. एक ही रेखा / Same line

Explanation Hindi:
दूसरा समीकरण पहले का (3) गुना है। इसलिए ग्राफ में दोनों एक ही रेखा होंगे।

Explanation English:
The second equation is (3) times the first. Therefore both will be the same line in the graph.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (7x+ay=21) और (x+2y=3) के अनंत हल के लिए (a) क्या होगा?

What will (a) be for infinitely many solutions of (7x+ay=21) and (x+2y=3)?

Explanation opens after your attempt

Correct Answer

C. (14)

Step 1

Concept

The first equation must be (7) times the second so (a=14). Then both equations represent the same line.

Step 2

Why this answer is correct

The correct answer is C. (14). The first equation must be (7) times the second so (a=14). Then both equations represent the same line.

Step 3

Exam Tip

पहला समीकरण दूसरे का (7) गुना होना चाहिए इसलिए (a=14)। इससे दोनों समीकरण एक ही रेखा दर्शाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
समीकरण (7x+ay=21) और (x+2y=3) के अनंत हल के लिए (a) क्या होगा?

Question English:
What will (a) be for infinitely many solutions of (7x+ay=21) and (x+2y=3)?

Options:
A. (10)
B. (12)
C. (14)
D. (16)

Correct Answer:
C. (14)

Explanation Hindi:
पहला समीकरण दूसरे का (7) गुना होना चाहिए इसलिए (a=14)। इससे दोनों समीकरण एक ही रेखा दर्शाते हैं।

Explanation English:
The first equation must be (7) times the second so (a=14). Then both equations represent the same line.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि दो समीकरणों के अनंत सामान्य हल हैं तो उनका ग्राफ कैसा होगा?

If two equations have infinitely many common solutions then how will their graph be?

Explanation opens after your attempt

Correct Answer

B. एक ही रेखाSame line

Step 1

Concept

Infinitely many common solutions occur only when both equations represent the same line. In exams this can be written as coincident lines.

Step 2

Why this answer is correct

The correct answer is B. एक ही रेखा / Same line. Infinitely many common solutions occur only when both equations represent the same line. In exams this can be written as coincident lines.

Step 3

Exam Tip

अनंत सामान्य हल तभी मिलते हैं जब दोनों समीकरण एक ही रेखा दर्शाते हैं। परीक्षा में इसे coincident lines लिख सकते हैं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
यदि दो समीकरणों के अनंत सामान्य हल हैं तो उनका ग्राफ कैसा होगा?

Question English:
If two equations have infinitely many common solutions then how will their graph be?

Options:
A. दो अलग समानांतर रेखाएं / Two distinct parallel lines
B. एक ही रेखा / Same line
C. दो कटती रेखाएं / Two intersecting lines
D. दो लंबवत रेखाएं / Two perpendicular lines

Correct Answer:
B. एक ही रेखा / Same line

Explanation Hindi:
अनंत सामान्य हल तभी मिलते हैं जब दोनों समीकरण एक ही रेखा दर्शाते हैं। परीक्षा में इसे coincident lines लिख सकते हैं।

Explanation English:
Infinitely many common solutions occur only when both equations represent the same line. In exams this can be written as coincident lines.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (2x-3y=5) और (4x-6y=7) के लिए रेखाओं की स्थिति बताइए।

State the position of the lines for (2x-3y=5) and (4x-6y=7).

Explanation opens after your attempt

Correct Answer

C. समानांतर अलग रेखाएंDistinct parallel lines

Step 1

Concept

Here (2/4=(-3)/(-6)) but (5/7) is different. Therefore the lines are parallel and distinct.

Step 2

Why this answer is correct

The correct answer is C. समानांतर अलग रेखाएं / Distinct parallel lines. Here (2/4=(-3)/(-6)) but (5/7) is different. Therefore the lines are parallel and distinct.

Step 3

Exam Tip

यहां (2/4=(-3)/(-6)) लेकिन (5/7) अलग है। इसलिए रेखाएं समानांतर और अलग हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
समीकरण (2x-3y=5) और (4x-6y=7) के लिए रेखाओं की स्थिति बताइए।

Question English:
State the position of the lines for (2x-3y=5) and (4x-6y=7).

Options:
A. कटती हुई रेखाएं / Intersecting lines
B. संपाती रेखाएं / Coincident lines
C. समानांतर अलग रेखाएं / Distinct parallel lines
D. समान रेखा / Same line

Correct Answer:
C. समानांतर अलग रेखाएं / Distinct parallel lines

Explanation Hindi:
यहां (2/4=(-3)/(-6)) लेकिन (5/7) अलग है। इसलिए रेखाएं समानांतर और अलग हैं।

Explanation English:
Here (2/4=(-3)/(-6)) but (5/7) is different. Therefore the lines are parallel and distinct.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (6x+3y=12) और (2x+y=4) के लिए सही कथन क्या है?

What is the correct statement for (6x+3y=12) and (2x+y=4)?

Explanation opens after your attempt

Correct Answer

C. अनंत हल हैंThere are infinitely many solutions

Step 1

Concept

The first equation is (3) times the second so both are the same line. In such questions spotting the common multiplier is the fastest method.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल हैं / There are infinitely many solutions. The first equation is (3) times the second so both are the same line. In such questions spotting the common multiplier is the fastest method.

Step 3

Exam Tip

पहला समीकरण दूसरे का (3) गुना है इसलिए दोनों एक ही रेखा हैं। ऐसे प्रश्नों में समान गुणक पहचानना तेज तरीका है।

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AI Video Prompt 16:9 + 9:16

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Question Page:
https://muftshiksha.com/question/what-is-the-correct-statement-for-6x-3y-12-and-2x-y-4

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
समीकरण (6x+3y=12) और (2x+y=4) के लिए सही कथन क्या है?

Question English:
What is the correct statement for (6x+3y=12) and (2x+y=4)?

Options:
A. असंगत हैं / They are inconsistent
B. एक अद्वितीय हल है / There is one unique solution
C. अनंत हल हैं / There are infinitely many solutions
D. रेखाएं लंबवत हैं / Lines are perpendicular

Correct Answer:
C. अनंत हल हैं / There are infinitely many solutions

Explanation Hindi:
पहला समीकरण दूसरे का (3) गुना है इसलिए दोनों एक ही रेखा हैं। ऐसे प्रश्नों में समान गुणक पहचानना तेज तरीका है।

Explanation English:
The first equation is (3) times the second so both are the same line. In such questions spotting the common multiplier is the fastest method.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

समीकरण (5x-2y=8) और (10x-4y=16) का हल-प्रकार क्या है?

What is the solution type of (5x-2y=8) and (10x-4y=16)?

Explanation opens after your attempt

Correct Answer

B. अनंत हलInfinitely many solutions

Step 1

Concept

The second equation is (2) times the first so both lines are the same. All points on the same line are solutions.

Step 2

Why this answer is correct

The correct answer is B. अनंत हल / Infinitely many solutions. The second equation is (2) times the first so both lines are the same. All points on the same line are solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है इसलिए दोनों रेखाएं एक ही हैं। एक ही रेखा के सभी बिंदु हल होते हैं।

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AI Video Prompt 16:9 + 9:16

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Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

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- Website: https://muftshiksha.com
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Question Page:
https://muftshiksha.com/question/what-is-the-solution-type-of-5x-2y-8-and-10x-4y-16

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
समीकरण (5x-2y=8) और (10x-4y=16) का हल-प्रकार क्या है?

Question English:
What is the solution type of (5x-2y=8) and (10x-4y=16)?

Options:
A. एक अद्वितीय हल / One unique solution
B. अनंत हल / Infinitely many solutions
C. कोई हल नहीं / No solution
D. केवल (x=0) / Only (x=0)

Correct Answer:
B. अनंत हल / Infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है इसलिए दोनों रेखाएं एक ही हैं। एक ही रेखा के सभी बिंदु हल होते हैं।

Explanation English:
The second equation is (2) times the first so both lines are the same. All points on the same line are solutions.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
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- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि \(a_1/a_2=b_1/b_2=c_1/c_2\) हो तो समीकरणों का युग्म कैसा कहलाता है?

If \(a_1/a_2=b_1/b_2=c_1/c_2\) then what is the pair of equations called?

Explanation opens after your attempt

Correct Answer

A. संगत और आश्रितConsistent and dependent

Step 1

Concept

When all three ratios are equal both equations give the same line. This is called a consistent and dependent pair.

Step 2

Why this answer is correct

The correct answer is A. संगत और आश्रित / Consistent and dependent. When all three ratios are equal both equations give the same line. This is called a consistent and dependent pair.

Step 3

Exam Tip

तीनों अनुपात बराबर होने पर दोनों समीकरण एक ही रेखा देते हैं। इसे संगत और आश्रित युग्म कहते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 59

Question Hindi:
यदि (a_1/a_2=b_1/b_2=c_1/c_2) हो तो समीकरणों का युग्म कैसा कहलाता है?

Question English:
If (a_1/a_2=b_1/b_2=c_1/c_2) then what is the pair of equations called?

Options:
A. संगत और आश्रित / Consistent and dependent
B. असंगत / Inconsistent
C. संगत और स्वतंत्र / Consistent and independent
D. असमाधेय / Unsolvable

Correct Answer:
A. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
तीनों अनुपात बराबर होने पर दोनों समीकरण एक ही रेखा देते हैं। इसे संगत और आश्रित युग्म कहते हैं।

Explanation English:
When all three ratios are equal both equations give the same line. This is called a consistent and dependent pair.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (2x-3y=4) और (4x-6y=8) में कौन-सा संबंध है?

What relationship exists between (2x-3y=4) and (4x-6y=8)?

Explanation opens after your attempt

Correct Answer

A. दूसरा पहले का (2) गुना हैThe second is (2) times the first

Step 1

Concept

All terms of the second equation are (2) times the first. Hence, both are the same line and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is A. दूसरा पहले का (2) गुना है / The second is (2) times the first. All terms of the second equation are (2) times the first. Hence, both are the same line and have infinitely many solutions.

Step 3

Exam Tip

दूसरे समीकरण के सभी पद पहले के (2) गुना हैं। इसलिए दोनों एक ही रेखा हैं और अनंत हल हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
समीकरण (2x-3y=4) और (4x-6y=8) में कौन-सा संबंध है?

Question English:
What relationship exists between (2x-3y=4) and (4x-6y=8)?

Options:
A. दूसरा पहले का (2) गुना है / The second is (2) times the first
B. दूसरा पहले का (3) गुना है / The second is (3) times the first
C. वे समानांतर अलग हैं / They are distinct parallel
D. वे कटती हैं / They intersect

Correct Answer:
A. दूसरा पहले का (2) गुना है / The second is (2) times the first

Explanation Hindi:
दूसरे समीकरण के सभी पद पहले के (2) गुना हैं। इसलिए दोनों एक ही रेखा हैं और अनंत हल हैं।

Explanation English:
All terms of the second equation are (2) times the first. Hence, both are the same line and have infinitely many solutions.

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1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (4x-5y=1) और (8x-9y=3) के लिए सही विकल्प चुनिए।

Choose the correct option for (4x-5y=1) and (8x-9y=3).

Explanation opens after your attempt

Correct Answer

A. एक अद्वितीय हलOne unique solution

Step 1

Concept

Here (4/8 \ne (-5)/(-9)), so the lines intersect. Hence, there is one unique solution.

Step 2

Why this answer is correct

The correct answer is A. एक अद्वितीय हल / One unique solution. Here (4/8 \ne (-5)/(-9)), so the lines intersect. Hence, there is one unique solution.

Step 3

Exam Tip

यहां (4/8 \ne (-5)/(-9)), इसलिए रेखाएं कटती हैं। अतः एक अद्वितीय हल है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
समीकरण (4x-5y=1) और (8x-9y=3) के लिए सही विकल्प चुनिए।

Question English:
Choose the correct option for (4x-5y=1) and (8x-9y=3).

Options:
A. एक अद्वितीय हल / One unique solution
B. कोई हल नहीं / No solution
C. अनंत हल / Infinitely many solutions
D. समान रेखा / Same line

Correct Answer:
A. एक अद्वितीय हल / One unique solution

Explanation Hindi:
यहां (4/8 \ne (-5)/(-9)), इसलिए रेखाएं कटती हैं। अतः एक अद्वितीय हल है।

Explanation English:
Here (4/8 \ne (-5)/(-9)), so the lines intersect. Hence, there is one unique solution.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

नीचे में से कौन-सी स्थिति अनंत हल देती है?

Which of the following conditions gives infinitely many solutions?

Explanation opens after your attempt

Correct Answer

C. (a_1a_2=b_1 / b_2=c_1 / c_2)

Step 1

Concept

For infinitely many solutions, all three ratios must be equal. Then both equations form the same line.

Step 2

Why this answer is correct

The correct answer is C. \(a_1 / a_2=b_1 / b_2=c_1 / c_2\). For infinitely many solutions, all three ratios must be equal. Then both equations form the same line.

Step 3

Exam Tip

अनंत हल के लिए तीनों अनुपात बराबर होने चाहिए। इससे दोनों समीकरण एक ही रेखा बनाते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
नीचे में से कौन-सी स्थिति अनंत हल देती है?

Question English:
Which of the following conditions gives infinitely many solutions?

Options:
A. (a_1 / a_2 \ne b_1 / b_2)
B. (a_1 / a_2=b_1 / b_2 \ne c_1 / c_2)
C. (a_1 / a_2=b_1 / b_2=c_1 / c_2)
D. (a_1 / a_2) अलग और (c_1 / c_2) अलग / a_2) different and (c_1 / c_2) different

Correct Answer:
C. (a_1 / a_2=b_1 / b_2=c_1 / c_2)

Explanation Hindi:
अनंत हल के लिए तीनों अनुपात बराबर होने चाहिए। इससे दोनों समीकरण एक ही रेखा बनाते हैं।

Explanation English:
For infinitely many solutions, all three ratios must be equal. Then both equations form the same line.

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (5x+2y=11) और (10x+3y=21) के ग्राफ के बारे में सही कथन चुनिए।

Choose the correct statement about the graphs of (5x+2y=11) and (10x+3y=21).

Explanation opens after your attempt

Correct Answer

A. वे एक बिंदु पर कटेंगीThey will intersect at one point

Step 1

Concept

Here \(5/10 \ne 2/3\), so the lines will intersect. Intersecting lines give one unique solution.

Step 2

Why this answer is correct

The correct answer is A. वे एक बिंदु पर कटेंगी / They will intersect at one point. Here \(5/10 \ne 2/3\), so the lines will intersect. Intersecting lines give one unique solution.

Step 3

Exam Tip

यहां \(5/10 \ne 2/3\), इसलिए रेखाएं कटेंगी। कटती रेखाएं एक अद्वितीय हल देती हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
समीकरण (5x+2y=11) और (10x+3y=21) के ग्राफ के बारे में सही कथन चुनिए।

Question English:
Choose the correct statement about the graphs of (5x+2y=11) and (10x+3y=21).

Options:
A. वे एक बिंदु पर कटेंगी / They will intersect at one point
B. वे समानांतर होंगी / They will be parallel
C. वे संपाती होंगी / They will be coincident
D. वे समान रेखा होंगी / They will be the same line

Correct Answer:
A. वे एक बिंदु पर कटेंगी / They will intersect at one point

Explanation Hindi:
यहां (5/10 \ne 2/3), इसलिए रेखाएं कटेंगी। कटती रेखाएं एक अद्वितीय हल देती हैं।

Explanation English:
Here (5/10 \ne 2/3), so the lines will intersect. Intersecting lines give one unique solution.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (x+2y=3) और (2x+4y=6) के लिए कौन-सा ग्राफ बनेगा?

What graph will be formed by (x+2y=3) and (2x+4y=6)?

Explanation opens after your attempt

Correct Answer

C. एक ही रेखाSame line

Step 1

Concept

The second equation is (2) times the first. Therefore, both will appear as the same line in the graph.

Step 2

Why this answer is correct

The correct answer is C. एक ही रेखा / Same line. The second equation is (2) times the first. Therefore, both will appear as the same line in the graph.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए ग्राफ में दोनों एक ही रेखा दिखेंगी।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
समीकरण (x+2y=3) और (2x+4y=6) के लिए कौन-सा ग्राफ बनेगा?

Question English:
What graph will be formed by (x+2y=3) and (2x+4y=6)?

Options:
A. दो कटती रेखाएं / Two intersecting lines
B. दो अलग समानांतर रेखाएं / Two distinct parallel lines
C. एक ही रेखा / Same line
D. दो लंबवत रेखाएं / Two perpendicular lines

Correct Answer:
C. एक ही रेखा / Same line

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए ग्राफ में दोनों एक ही रेखा दिखेंगी।

Explanation English:
The second equation is (2) times the first. Therefore, both will appear as the same line in the graph.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (3x-4y=8) और (6x-8y=16) के लिए सही निष्कर्ष चुनिए।

Choose the correct conclusion for (3x-4y=8) and (6x-8y=16).

Explanation opens after your attempt

Correct Answer

C. अनंत हलInfinitely many solutions

Step 1

Concept

The second equation is (2) times the first, so both are the same line. The same line gives infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (2) times the first, so both are the same line. The same line gives infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है, इसलिए दोनों एक ही रेखा हैं। समान रेखा पर अनंत हल मिलते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
समीकरण (3x-4y=8) और (6x-8y=16) के लिए सही निष्कर्ष चुनिए।

Question English:
Choose the correct conclusion for (3x-4y=8) and (6x-8y=16).

Options:
A. एक हल / One solution
B. कोई हल नहीं / No solution
C. अनंत हल / Infinitely many solutions
D. असंगत / Inconsistent

Correct Answer:
C. अनंत हल / Infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है, इसलिए दोनों एक ही रेखा हैं। समान रेखा पर अनंत हल मिलते हैं।

Explanation English:
The second equation is (2) times the first, so both are the same line. The same line gives infinitely many solutions.

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (9x-3y+6=0) और (3x-y+2=0) के लिए सही कथन है।

Choose the correct statement for (9x-3y+6=0) and (3x-y+2=0).

Explanation opens after your attempt

Correct Answer

C. अनंत हल हैंHas infinitely many solutions

Step 1

Concept

Here (9/3=(-3)/(-1)=6/2), so both equations are the same line. Therefore, there are infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल हैं / Has infinitely many solutions. Here (9/3=(-3)/(-1)=6/2), so both equations are the same line. Therefore, there are infinitely many solutions.

Step 3

Exam Tip

यहां (9/3=(-3)/(-1)=6/2), इसलिए दोनों समीकरण एक ही रेखा हैं। इसलिए अनंत हल हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
समीकरण (9x-3y+6=0) और (3x-y+2=0) के लिए सही कथन है।

Question English:
Choose the correct statement for (9x-3y+6=0) and (3x-y+2=0).

Options:
A. एक हल है / Has one solution
B. कोई हल नहीं है / Has no solution
C. अनंत हल हैं / Has infinitely many solutions
D. रेखाएं समानांतर पर अलग हैं / Lines are parallel but separate

Correct Answer:
C. अनंत हल हैं / Has infinitely many solutions

Explanation Hindi:
यहां (9/3=(-3)/(-1)=6/2), इसलिए दोनों समीकरण एक ही रेखा हैं। इसलिए अनंत हल हैं।

Explanation English:
Here (9/3=(-3)/(-1)=6/2), so both equations are the same line. Therefore, there are infinitely many solutions.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (7x+4y-8=0) और (14x+8y-16=0) किस प्रकार के युग्म हैं?

What type of pair are (7x+4y-8=0) and (14x+8y-16=0)?

Explanation opens after your attempt

Correct Answer

B. संगत और आश्रितConsistent and dependent

Step 1

Concept

All three ratios are equal, so both equations represent the same line. This is called a consistent dependent pair.

Step 2

Why this answer is correct

The correct answer is B. संगत और आश्रित / Consistent and dependent. All three ratios are equal, so both equations represent the same line. This is called a consistent dependent pair.

Step 3

Exam Tip

तीनों अनुपात बराबर हैं, इसलिए दोनों समीकरण एक ही रेखा हैं। इसे consistent dependent pair कहते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
समीकरण (7x+4y-8=0) और (14x+8y-16=0) किस प्रकार के युग्म हैं?

Question English:
What type of pair are (7x+4y-8=0) and (14x+8y-16=0)?

Options:
A. असंगत / Inconsistent
B. संगत और आश्रित / Consistent and dependent
C. संगत और स्वतंत्र / Consistent and independent
D. लंबवत / Perpendicular

Correct Answer:
B. संगत और आश्रित / Consistent and dependent

Explanation Hindi:
तीनों अनुपात बराबर हैं, इसलिए दोनों समीकरण एक ही रेखा हैं। इसे consistent dependent pair कहते हैं।

Explanation English:
All three ratios are equal, so both equations represent the same line. This is called a consistent dependent pair.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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Question Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

समीकरणों (4x+7y=31) और (8x+14y=62) के हलों की संख्या क्या है?

What is the number of solutions of (4x+7y=31) and (8x+14y=62)?

Explanation opens after your attempt

Correct Answer

D. अनंत हलInfinitely many solutions

Step 1

Concept

The second equation is (2) times the first. Therefore both are the same line and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is D. अनंत हल / Infinitely many solutions. The second equation is (2) times the first. Therefore both are the same line and have infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों एक ही रेखा हैं और अनंत हल हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Algebraic methods: Substitution method and Elimination method.
Difficulty: Expert
Level: 55

Question Hindi:
समीकरणों (4x+7y=31) और (8x+14y=62) के हलों की संख्या क्या है?

Question English:
What is the number of solutions of (4x+7y=31) and (8x+14y=62)?

Options:
A. कोई हल नहीं / No solution
B. केवल एक हल / Exactly one solution
C. दो हल / Two solutions
D. अनंत हल / Infinitely many solutions

Correct Answer:
D. अनंत हल / Infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों एक ही रेखा हैं और अनंत हल हैं।

Explanation English:
The second equation is (2) times the first. Therefore both are the same line and have infinitely many solutions.

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Question Hard Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 57

समीकरणों (3x+5y=20) और (6x+10y=40) के हलों की संख्या क्या है?

What is the number of solutions of (3x+5y=20) and (6x+10y=40)?

Explanation opens after your attempt

Correct Answer

A. अनंत हलInfinitely many solutions

Step 1

Concept

The second equation is (2) times the first. Therefore both represent the same line and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is A. अनंत हल / Infinitely many solutions. The second equation is (2) times the first. Therefore both represent the same line and have infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों एक ही रेखा दर्शाते हैं और अनंत हल हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Algebraic methods: Substitution method and Elimination method.
Difficulty: Hard
Level: 57

Question Hindi:
समीकरणों (3x+5y=20) और (6x+10y=40) के हलों की संख्या क्या है?

Question English:
What is the number of solutions of (3x+5y=20) and (6x+10y=40)?

Options:
A. अनंत हल / Infinitely many solutions
B. कोई हल नहीं / No solution
C. केवल एक हल / Exactly one solution
D. ठीक दो हल / Exactly two solutions

Correct Answer:
A. अनंत हल / Infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों एक ही रेखा दर्शाते हैं और अनंत हल हैं।

Explanation English:
The second equation is (2) times the first. Therefore both represent the same line and have infinitely many solutions.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Hard Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

समीकरणों (4x+6y=30) और (6x+9y=45) के हलों के बारे में सही कथन चुनिए।

Choose the correct statement about the solutions of (4x+6y=30) and (6x+9y=45).

Explanation opens after your attempt

Correct Answer

C. अनंत अनेक हलInfinitely many solutions

Step 1

Concept

The second equation is \(\frac{3}{2}\) times the first, so both represent the same line. In exams, if all ratios are equal, there are infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. अनंत अनेक हल / Infinitely many solutions. The second equation is \(\frac{3}{2}\) times the first, so both represent the same line. In exams, if all ratios are equal, there are infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का \(\frac{3}{2}\) गुना है, इसलिए दोनों समान रेखा दर्शाते हैं। परीक्षा में सभी अनुपात बराबर हों तो अनंत हल होते हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Algebraic methods: Substitution method and Elimination method.
Difficulty: Hard
Level: 56

Question Hindi:
समीकरणों (4x+6y=30) और (6x+9y=45) के हलों के बारे में सही कथन चुनिए।

Question English:
Choose the correct statement about the solutions of (4x+6y=30) and (6x+9y=45).

Options:
A. कोई हल नहीं / No solution
B. अद्वितीय हल / Unique solution
C. अनंत अनेक हल / Infinitely many solutions
D. केवल (y=0) / Only (y=0)

Correct Answer:
C. अनंत अनेक हल / Infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (\frac{3}{2}) गुना है, इसलिए दोनों समान रेखा दर्शाते हैं। परीक्षा में सभी अनुपात बराबर हों तो अनंत हल होते हैं।

Explanation English:
The second equation is (\frac{3}{2}) times the first, so both represent the same line. In exams, if all ratios are equal, there are infinitely many solutions.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question Hard Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

समीकरणों (2x+3y=11) और (4x+6y=22) के हलों की संख्या क्या है?

What is the number of solutions of (2x+3y=11) and (4x+6y=22)?

Explanation opens after your attempt

Correct Answer

A. अनंत हलInfinitely many solutions

Step 1

Concept

The second equation is (2) times the first. Therefore both represent the same line and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is A. अनंत हल / Infinitely many solutions. The second equation is (2) times the first. Therefore both represent the same line and have infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों एक ही रेखा दर्शाते हैं और अनंत हल हैं।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Algebraic methods: Substitution method and Elimination method.
Difficulty: Hard
Level: 55

Question Hindi:
समीकरणों (2x+3y=11) और (4x+6y=22) के हलों की संख्या क्या है?

Question English:
What is the number of solutions of (2x+3y=11) and (4x+6y=22)?

Options:
A. अनंत हल / Infinitely many solutions
B. कोई हल नहीं / No solution
C. केवल एक हल / Exactly one solution
D. ठीक दो हल / Exactly two solutions

Correct Answer:
A. अनंत हल / Infinitely many solutions

Explanation Hindi:
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों एक ही रेखा दर्शाते हैं और अनंत हल हैं।

Explanation English:
The second equation is (2) times the first. Therefore both represent the same line and have infinitely many solutions.

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