Hard Mathematics Quadratic Equations Class 10 Level 33

(x-2-(m+1)x+m=0) की जड़ें एक-दूसरे की व्युत्क्रम हों, तो (m) का मान क्या है?

If the roots of (x-2-(m+1)x+m=0) are reciprocals of each other, what is (m)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

For reciprocal roots, \(\alpha\beta=1\). Here \(\alpha\beta=m\), so (m=1).

Step 2

Why this answer is correct

The correct answer is A. (1). For reciprocal roots, \(\alpha\beta=1\). Here \(\alpha\beta=m\), so (m=1).

Step 3

Exam Tip

व्युत्क्रम जड़ों के लिए \(\alpha\beta=1\) होता है। यहाँ \(\alpha\beta=m\), इसलिए (m=1)।

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Mathematics Answer, Explanation and Revision Hints

(x-2-(m+1)x+m=0) की जड़ें एक-दूसरे की व्युत्क्रम हों, तो (m) का मान क्या है? / If the roots of (x-2-(m+1)x+m=0) are reciprocals of each other, what is (m)?

Correct Answer: A. (1). Explanation: व्युत्क्रम जड़ों के लिए \(\alpha\beta=1\) होता है। यहाँ \(\alpha\beta=m\), इसलिए (m=1)। / For reciprocal roots, \(\alpha\beta=1\). Here \(\alpha\beta=m\), so (m=1).

Which concept should I revise for this Mathematics MCQ?

For reciprocal roots, \(\alpha\beta=1\). Here \(\alpha\beta=m\), so (m=1).

What exam hint can help solve this Mathematics question?

व्युत्क्रम जड़ों के लिए \(\alpha\beta=1\) होता है। यहाँ \(\alpha\beta=m\), इसलिए (m=1)।

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