यदि \(x^2-8x+15=0\) के मूल \(\alpha\) और \(\beta\) हैं तो \(\frac{\alpha-1}{\beta-1}+\frac{\beta-1}{\alpha-1}\) का मान क्या है?
If \(\alpha\) and \(\beta\) are roots of \(x^2-8x+15=0\), what is the value of \(\frac{\alpha-1}{\beta-1}+\frac{\beta-1}{\alpha-1}\)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{17}{8}\)
Concept
The roots are (3) and (5), so \(\alpha-1\) and \(\beta-1\) are (2) and (4). The value is \(\frac{2}{4}+\frac{4}{2}=\frac{5}{2}\).
Why this answer is correct
The correct answer is A. \(\frac{17}{8}\). The roots are (3) and (5), so \(\alpha-1\) and \(\beta-1\) are (2) and (4). The value is \(\frac{2}{4}+\frac{4}{2}=\frac{5}{2}\).
Exam Tip
मूल (3) और (5) हैं इसलिए \(\alpha-1\) और \(\beta-1\) (2) और (4) होंगे। मान \(\frac{2}{4}+\frac{4}{2}=\frac{5}{2}\) है।
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