Expert Mathematics Quadratic Equations Class 10 Level 28

यदि \(x^2-10x+q=0\) के मूल \(\alpha,\beta\) हैं और \(\alpha^2+\beta^2=58\) है, तो (q) का मान क्या होगा?

If \(\alpha,\beta\) are roots of \(x^2-10x+q=0\) and \(\alpha^2+\beta^2=58\), what is the value of (q)?

Explanation opens after your attempt
Correct Answer

A. (21)

Step 1

Concept

Here \(\alpha+\beta=10\) and \(\alpha\beta=q\). Using (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta), (58=100-2q), so (q=21).

Step 2

Why this answer is correct

The correct answer is A. (21). Here \(\alpha+\beta=10\) and \(\alpha\beta=q\). Using (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta), (58=100-2q), so (q=21).

Step 3

Exam Tip

यहाँ \(\alpha+\beta=10\) और \(\alpha\beta=q\) है। (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta) से (58=100-2q), इसलिए (q=21)।

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Mathematics Answer, Explanation and Revision Hints

यदि \(x^2-10x+q=0\) के मूल \(\alpha,\beta\) हैं और \(\alpha^2+\beta^2=58\) है, तो (q) का मान क्या होगा? / If \(\alpha,\beta\) are roots of \(x^2-10x+q=0\) and \(\alpha^2+\beta^2=58\), what is the value of (q)?

Correct Answer: A. (21). Explanation: यहाँ \(\alpha+\beta=10\) और \(\alpha\beta=q\) है। (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta) से (58=100-2q), इसलिए (q=21)। / Here \(\alpha+\beta=10\) and \(\alpha\beta=q\). Using (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta), (58=100-2q), so (q=21).

Which concept should I revise for this Mathematics MCQ?

Here \(\alpha+\beta=10\) and \(\alpha\beta=q\). Using (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta), (58=100-2q), so (q=21).

What exam hint can help solve this Mathematics question?

यहाँ \(\alpha+\beta=10\) और \(\alpha\beta=q\) है। (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta) से (58=100-2q), इसलिए (q=21)।

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