Concept-wise Practice

dependent equations MCQ Questions for Class 10

dependent equations se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

12 questions tagged with dependent equations.

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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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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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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यदि (7x-14y=28) और (x-2y=4), तो सही कथन कौन-सा है?

If (7x-14y=28) and (x-2y=4), which statement is correct?

Explanation opens after your attempt
Correct Answer

C. अनंत हलInfinitely many solutions

Step 1

Concept

The first equation is (7) times the second. Therefore both are identical equations and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल / Infinitely many solutions. The first equation is (7) times the second. Therefore both are identical equations and have infinitely many solutions.

Step 3

Exam Tip

पहला समीकरण दूसरे का (7) गुना है। इसलिए दोनों समान समीकरण हैं और अनंत हल हैं।

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समीकरणों (5x-10y=15) और (x-2y=3) के हलों की संख्या क्या है?

What is the number of solutions of (5x-10y=15) and (x-2y=3)?

Explanation opens after your attempt
Correct Answer

D. अनंत हलInfinitely many solutions

Step 1

Concept

The first equation is (5) times the second. Therefore both are the same equation and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is D. अनंत हल / Infinitely many solutions. The first equation is (5) times the second. Therefore both are the same equation and have infinitely many solutions.

Step 3

Exam Tip

पहला समीकरण दूसरे का (5) गुना है। इसलिए दोनों एक ही समीकरण हैं और अनंत हल हैं।

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यदि (3x+6y=24) और (x+2y=8), तो हलों की संख्या क्या है?

If (3x+6y=24) and (x+2y=8), what is the number of solutions?

Explanation opens after your attempt
Correct Answer

C. अनंत हलInfinitely many solutions

Step 1

Concept

The first equation is (3) times the second. Hence both are the same line and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. अनंत हल / Infinitely many solutions. The first equation is (3) times the second. Hence both are the same line and have infinitely many solutions.

Step 3

Exam Tip

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

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समीकरणों (6x+4y=40) और (3x+2y=20) के बारे में सही कथन कौन-सा है?

Which statement is correct about (6x+4y=40) and (3x+2y=20)?

Explanation opens after your attempt
Correct Answer

B. अनंत हल हैंThere are infinitely many solutions

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is B. अनंत हल हैं / There are infinitely many solutions. The first equation is (2) times the second. Therefore both are the same equation and have infinitely many solutions.

Step 3

Exam Tip

पहला समीकरण दूसरे का (2) गुना है। इसलिए दोनों एक ही समीकरण हैं और अनंत हल हैं।

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यदि (6x+2y=28) और (3x+y=14), तो हलों की संख्या क्या है?

If (6x+2y=28) and (3x+y=14), what is the number of solutions?

Explanation opens after your attempt
Correct Answer

D. अनंत हलInfinitely many solutions

Step 1

Concept

The first equation is (2) times the second. Therefore both equations are identical and give infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is D. अनंत हल / Infinitely many solutions. The first equation is (2) times the second. Therefore both equations are identical and give infinitely many solutions.

Step 3

Exam Tip

पहला समीकरण दूसरे का (2) गुना है। इसलिए दोनों समीकरण समान हैं और अनंत हल देते हैं।

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यदि (2x+3y=16) और (4x+6y=32), तो सही कथन क्या है?

If (2x+3y=16) and (4x+6y=32), which statement is correct?

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. Hence both represent the same line and have 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. Hence 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 होते हैं।

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समीकरण (2x+3y=12) और (4x+6y=24) के लिए सही निष्कर्ष क्या है?

What is the correct conclusion for (2x+3y=12) and (4x+6y=24)?

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 represent the same line. Such a pair has infinitely many 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 represent the same line. Such a pair has infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है, इसलिए दोनों एक ही रेखा हैं। ऐसे युग्म के अनंत हल होते हैं।

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विलोपन के लिए (x+y=6) और (2x+2y=12) के बारे में सही निष्कर्ष क्या है?

For elimination, what is the correct conclusion about (x+y=6) and (2x+2y=12)?

Explanation opens after your attempt
Correct Answer

D. अनंत हलInfinitely many solutions

Step 1

Concept

The second equation is (2) times the first, so both are the same line and have infinitely many solutions. Identify proportional equations.

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, so both are the same line and have infinitely many solutions. Identify proportional equations.

Step 3

Exam Tip

दूसरा समीकरण पहले का (2) गुना है, इसलिए दोनों एक ही रेखा हैं और अनंत हल हैं। समानुपाती समीकरणों को पहचानें।

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यदि (2x+4y=18) और (x+2y=9), तो इन दोनों समीकरणों के बारे में सही कथन क्या है?

If (2x+4y=18) and (x+2y=9), which statement is correct about these two equations?

Explanation opens after your attempt
Correct Answer

B. पहला समीकरण दूसरे का (2) गुना हैThe first equation is (2) times the second

Step 1

Concept

The first equation is (2(x+2y)=18), so it is (2) times the second. Recognizing proportional equations is also important.

Step 2

Why this answer is correct

The correct answer is B. पहला समीकरण दूसरे का (2) गुना है / The first equation is (2) times the second. The first equation is (2(x+2y)=18), so it is (2) times the second. Recognizing proportional equations is also important.

Step 3

Exam Tip

पहला समीकरण (2(x+2y)=18) है, इसलिए यह दूसरे का (2) गुना है। समानुपाती समीकरणों को पहचानना भी जरूरी है।

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