Medium Mathematics Quadratic Equations Class 10 Level 30

यदि द्विघात समीकरण \(x^2-18x+k=0\) के मूल समान हैं, तो (k) क्या होगा?

If the roots of \(x^2-18x+k=0\) are equal, what is (k)?

Explanation opens after your attempt
Correct Answer

B. (81)

Step 1

Concept

For equal roots, (D=0), so (324-4k=0) and (k=81). For equal roots, set the discriminant to zero.

Step 2

Why this answer is correct

The correct answer is B. (81). For equal roots, (D=0), so (324-4k=0) and (k=81). For equal roots, set the discriminant to zero.

Step 3

Exam Tip

समान मूलों के लिए (D=0), इसलिए (324-4k=0) और (k=81)। समान मूल की शर्त में विवेचक शून्य रखें।

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Mathematics Answer, Explanation and Revision Hints

यदि द्विघात समीकरण \(x^2-18x+k=0\) के मूल समान हैं, तो (k) क्या होगा? / If the roots of \(x^2-18x+k=0\) are equal, what is (k)?

Correct Answer: B. (81). Explanation: समान मूलों के लिए (D=0), इसलिए (324-4k=0) और (k=81)। समान मूल की शर्त में विवेचक शून्य रखें। / For equal roots, (D=0), so (324-4k=0) and (k=81). For equal roots, set the discriminant to zero.

Which concept should I revise for this Mathematics MCQ?

For equal roots, (D=0), so (324-4k=0) and (k=81). For equal roots, set the discriminant to zero.

What exam hint can help solve this Mathematics question?

समान मूलों के लिए (D=0), इसलिए (324-4k=0) और (k=81)। समान मूल की शर्त में विवेचक शून्य रखें।

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