Question

If the roots of ax² + cx + c = 0 be in the ratio p : q then $\sqrt{\frac{p}{q}} + \sqrt{\frac{q}{p}} + \sqrt{\frac{c}{a}} =$

• A. –1
• B. 1
• C. 0
• D. 2

Answer 1

Answer: (C)

0

Answer 2

$\frac{\alpha}{\beta} = \frac{p}{q}$

So$\sqrt{\frac{p}{q}} + \sqrt{\frac{q}{p}} + \sqrt{\frac{c}{a}} = \sqrt{\frac{\alpha}{\beta}} + \sqrt{\frac{\beta}{\alpha}} + \sqrt{\frac{c}{a}}$= $\frac{\alpha + \beta}{\sqrt{\alpha\beta}} = \frac{- c/a}{\sqrt{c/a}} + \sqrt{\frac{c}{a}} = 0$