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

Answer: (A)

$\frac{1}6$

Answer 2

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