Question:
Given \(x^2 - 70x + \lambda = 0\) with positive integral roots a and B where one of the root is less than 10, and \( \frac{\lambda}2 \times i \frac{\lambda}3\) are not integers, then find value of \(\frac{\sqrt{α-1} +\sqrt{β-1}}{|α-β|}\)
Given \(x^2 - 70x + \lambda = 0\) with positive integral roots a and B where one of the root is less than 10, and \( \frac{\lambda}2 \times i \frac{\lambda}3\) are not integers, then find value of \(\frac{\sqrt{α-1} +\sqrt{β-1}}{|α-β|}\)
Updated On: Mar 20, 2025
\(\frac{1}6\)
\(\frac1{12}\)
\(\frac{11}2\)
\(\frac1{70}\)
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The Correct Option is A
Solution and Explanation
The Correct answer is option (A): \(\frac{1}6\).
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