यदि \(x^2-11x+30=0\) की जड़ें \(\alpha,\beta\) हैं, तो \(\frac{\alpha+1}{\alpha-1}+\frac{\beta+1}{\beta-1}\) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2-11x+30=0\), what is \(\frac{\alpha+1}{\alpha-1}+\frac{\beta+1}{\beta-1}\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{29}{10}\)

Step 1

Concept

The roots are (5) and (6). Hence \(\frac{6}{4}+\frac{7}{5}=\frac{15}{10}+\frac{14}{10}=\frac{29}{10}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{29}{10}\). The roots are (5) and (6). Hence \(\frac{6}{4}+\frac{7}{5}=\frac{15}{10}+\frac{14}{10}=\frac{29}{10}\).

Step 3

Exam Tip

जड़ें (5) और (6) हैं। इसलिए \(\frac{6}{4}+\frac{7}{5}=\frac{15}{10}+\frac{14}{10}=\frac{29}{10}\)।

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Mathematics Answer, Explanation and Revision Hints

यदि \(x^2-11x+30=0\) की जड़ें \(\alpha,\beta\) हैं, तो \(\frac{\alpha+1}{\alpha-1}+\frac{\beta+1}{\beta-1}\) का मान क्या है? / If \(\alpha,\beta\) are roots of \(x^2-11x+30=0\), what is \(\frac{\alpha+1}{\alpha-1}+\frac{\beta+1}{\beta-1}\)?

Correct Answer: A. \(\frac{29}{10}\). Explanation: जड़ें (5) और (6) हैं। इसलिए \(\frac{6}{4}+\frac{7}{5}=\frac{15}{10}+\frac{14}{10}=\frac{29}{10}\)। / The roots are (5) and (6). Hence \(\frac{6}{4}+\frac{7}{5}=\frac{15}{10}+\frac{14}{10}=\frac{29}{10}\).

Which concept should I revise for this Mathematics MCQ?

The roots are (5) and (6). Hence \(\frac{6}{4}+\frac{7}{5}=\frac{15}{10}+\frac{14}{10}=\frac{29}{10}\).

What exam hint can help solve this Mathematics question?

जड़ें (5) और (6) हैं। इसलिए \(\frac{6}{4}+\frac{7}{5}=\frac{15}{10}+\frac{14}{10}=\frac{29}{10}\)।