Concept-wise Practice

roots-difference MCQ Questions for Class 10

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

Practice Questions

5 questions tagged with roots-difference.

Question 1/5 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि \(x^2-2ax+a^2-49=0\) है, तो मूलों का अंतर क्या होगा?

If \(x^2-2ax+a^2-49=0\), what will be the difference of the roots?

Explanation opens after your attempt
Correct Answer

A. (14)

Step 1

Concept

The equation is ((x-a)2-49=0), so the roots are (a+7) and (a-7). Their difference is (14).

Step 2

Why this answer is correct

The correct answer is A. (14). The equation is ((x-a)2-49=0), so the roots are (a+7) and (a-7). Their difference is (14).

Step 3

Exam Tip

समीकरण ((x-a)2-49=0) है, इसलिए मूल (a+7) और (a-7) हैं। उनका अंतर (14) है।

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Question 2/5 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि \(x^2-2ax+a^2-36=0\) है, तो मूलों का अंतर क्या होगा?

If \(x^2-2ax+a^2-36=0\), what will be the difference of the roots?

Explanation opens after your attempt
Correct Answer

A. (12)

Step 1

Concept

The equation is ((x-a)2-36=0), so the roots are (a+6) and (a-6). Their difference is (12).

Step 2

Why this answer is correct

The correct answer is A. (12). The equation is ((x-a)2-36=0), so the roots are (a+6) and (a-6). Their difference is (12).

Step 3

Exam Tip

समीकरण ((x-a)2-36=0) है, इसलिए मूल (a+6) और (a-6) हैं। उनका अंतर (12) है।

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Question 3/5 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि \(x^2-2ax+a^2-25=0\) है, तो मूलों का अंतर क्या होगा?

If \(x^2-2ax+a^2-25=0\), what will be the difference of the roots?

Explanation opens after your attempt
Correct Answer

A. (10)

Step 1

Concept

The equation is ((x-a)2-25=0), so the roots are (a+5) and (a-5). Their difference is (10).

Step 2

Why this answer is correct

The correct answer is A. (10). The equation is ((x-a)2-25=0), so the roots are (a+5) and (a-5). Their difference is (10).

Step 3

Exam Tip

समीकरण ((x-a)2-25=0) है, इसलिए मूल (a+5) और (a-5) हैं। उनका अंतर (10) है।

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Question 4/5 Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि \(x^2-2ax+a^2-16=0\) है, तो मूलों का अंतर क्या होगा?

If \(x^2-2ax+a^2-16=0\), what will be the difference of the roots?

Explanation opens after your attempt
Correct Answer

A. (8)

Step 1

Concept

The equation is ((x-a)2-16=0), so the roots are (a+4) and (a-4). Their difference is (8).

Step 2

Why this answer is correct

The correct answer is A. (8). The equation is ((x-a)2-16=0), so the roots are (a+4) and (a-4). Their difference is (8).

Step 3

Exam Tip

समीकरण ((x-a)2-16=0) है, इसलिए मूल (a+4) और (a-4) हैं। उनका अंतर (8) है।

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Question 5/5 Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि \(x^2-2ax+a^2-9=0\) है, तो मूलों का अंतर क्या होगा?

If \(x^2-2ax+a^2-9=0\), what will be the difference of the roots?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

The equation is ((x-a)2-9=0), so the roots are (a+3) and (a-3). Their difference is (6).

Step 2

Why this answer is correct

The correct answer is A. (6). The equation is ((x-a)2-9=0), so the roots are (a+3) and (a-3). Their difference is (6).

Step 3

Exam Tip

समीकरण ((x-a)2-9=0) है, इसलिए मूल (a+3) और (a-3) हैं। उनका अंतर (6) है।

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