Class 10 same line MCQ Questions

Question 1/25 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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Question 2/25 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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Question 3/25 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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Question 4/25 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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Question 5/25 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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Question 6/25 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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Question 7/25 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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Question 8/25 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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Question 9/25 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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Question 10/25 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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Question 11/25 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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Question 12/25 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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Question 13/25 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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Question 14/25 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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Question 15/25 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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Question 16/25 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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Question 17/25 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 18/25 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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Question 19/25 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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Question 20/25 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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Question 21/25 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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Question 22/25 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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Question 23/25 Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

समीकरण (5x-10y=20) और (x-2y=4) के ग्राफ कैसे होंगे?

How will the graphs of (5x-10y=20) and (x-2y=4) be?

Explanation opens after your attempt

Correct Answer

C. संपातीCoincident

Step 1

Concept

Dividing the first equation by (5) gives (x-2y=4). Therefore the two lines have infinitely many common points.

Step 2

Why this answer is correct

The correct answer is C. संपाती / Coincident. Dividing the first equation by (5) gives (x-2y=4). Therefore the two lines have infinitely many common points.

Step 3

Exam Tip

पहला समीकरण (5) से भाग देने पर (x-2y=4) बनता है। इसलिए दोनों रेखाओं के अनंत सामान्य बिंदु हैं।

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Question 24/25 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

समीकरण (3x+3y=24) और (x+y=8) के ग्राफ का संबंध क्या है?

What is the relation between the graphs of (3x+3y=24) and (x+y=8)?

Explanation opens after your attempt

Correct Answer

C. एक ही रेखाSame line

Step 1

Concept

Dividing the first equation by (3) gives (x+y=8). Therefore, both are the same line.

Step 2

Why this answer is correct

The correct answer is C. एक ही रेखा / Same line. Dividing the first equation by (3) gives (x+y=8). Therefore, both are the same line.

Step 3

Exam Tip

पहला समीकरण (3) से भाग देने पर (x+y=8) बनता है। इसलिए दोनों एक ही रेखा हैं।

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Question 25/25 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

समीकरण (2x+2y=18) और (x+y=9) के ग्राफ का संबंध क्या है?

What is the relation between the graphs of (2x+2y=18) and (x+y=9)?

Explanation opens after your attempt

Correct Answer

C. एक ही रेखाSame line

Step 1

Concept

Dividing the first equation by (2) gives (x+y=9). Therefore, both are the same line.

Step 2

Why this answer is correct

The correct answer is C. एक ही रेखा / Same line. Dividing the first equation by (2) gives (x+y=9). Therefore, both are the same line.

Step 3

Exam Tip

पहला समीकरण (2) से भाग देने पर (x+y=9) बनता है। इसलिए दोनों एक ही रेखा हैं।

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same line MCQ Questions for Class 10

Practice Questions

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept