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

यदि \(x^2-7x+10=0\) की जड़ें \(\alpha,\beta\) हैं, तो \(\frac{\alpha+2}{\alpha-2}+\frac{\beta+2}{\beta-2}\) का मान क्या है?

If \(\alpha,\beta\) are the roots of \(x^2-7x+10=0\), what is \(\frac{\alpha+2}{\alpha-2}+\frac{\beta+2}{\beta-2}\)?

Explanation opens after your attempt
Correct Answer

A. अपरिभाषितUndefined

Step 1

Concept

One root can be \(\alpha=2\), which makes \(\alpha-2=0\). Therefore the expression is undefined; always check zero denominators first in exams.

Step 2

Why this answer is correct

The correct answer is A. अपरिभाषित / Undefined. One root can be \(\alpha=2\), which makes \(\alpha-2=0\). Therefore the expression is undefined; always check zero denominators first in exams.

Step 3

Exam Tip

जड़ों में से एक \(\alpha=2\) हो सकती है, जिससे \(\alpha-2=0\) बनता है। इसलिए व्यंजक अपरिभाषित है; परीक्षा में हर पहले शून्य हर देखें।

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