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root-pattern MCQ Questions for Class 10

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4 questions tagged with root-pattern.

Question 1/4 Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

\(x^2-2tx+t^2-49=0\) की जड़ों का धनात्मक अंतर क्या है?

What is the positive difference between the roots of \(x^2-2tx+t^2-49=0\)?

Explanation opens after your attempt
Correct Answer

B. (14)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

समीकरण ((x-t)2-49=0) है। जड़ें (t+7) और (t-7) हैं, इसलिए धनात्मक अंतर (14) है।

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Question 2/4 Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

\(x^2-2kx+k^2-25=0\) की जड़ों का धनात्मक अंतर क्या है?

What is the positive difference between the roots of \(x^2-2kx+k^2-25=0\)?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

समीकरण ((x-k)2-25=0) है। जड़ें (k+5) और (k-5) हैं, इसलिए धनात्मक अंतर (10) है।

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Question 3/4 Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

\(x^2-2qx+q^2-16=0\) की जड़ों का धनात्मक अंतर क्या है?

What is the positive difference between the roots of \(x^2-2qx+q^2-16=0\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

The equation is ((x-q)2-16=0). Thus the roots are (q+4) and (q-4), whose difference is (8).

Step 2

Why this answer is correct

The correct answer is C. (8). The equation is ((x-q)2-16=0). Thus the roots are (q+4) and (q-4), whose difference is (8).

Step 3

Exam Tip

समीकरण ((x-q)2-16=0) है। इसलिए जड़ें (q+4) और (q-4) हैं, जिनका अंतर (8) है।

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Question 4/4 Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

\(x^2-2px+p^2-9=0\) की जड़ों के बारे में कौन-सा कथन सही है?

Which statement is correct about the roots of \(x^2-2px+p^2-9=0\)?

Explanation opens after your attempt
Correct Answer

A. जड़ों का अंतर हमेशा (6) हैThe difference of roots is always (6)

Step 1

Concept

The equation can be written as ((x-p)2-9=0). The roots are (p+3) and (p-3), so the difference is (6).

Step 2

Why this answer is correct

The correct answer is A. जड़ों का अंतर हमेशा (6) है / The difference of roots is always (6). The equation can be written as ((x-p)2-9=0). The roots are (p+3) and (p-3), so the difference is (6).

Step 3

Exam Tip

समीकरण को ((x-p)2-9=0) लिखा जा सकता है। जड़ें (p+3) और (p-3) हैं, इसलिए अंतर (6) है।

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