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 \(\frac{\sqrt{α-1} +\sqrt{β-1}}{|α-β|}\)

• A. \(\frac{1}6\)
• B. \(\frac1{12}\)
• C. \(\frac{11}2\)
• D. \(\frac1{70}\)

Answer 1

The Correct Option is A

The Correct answer is option (A): \(\frac{1}6\).