RRB Technician 2014 Ques 11
Question: If $ \alpha $ and $ \beta $ be the roots of $ ax^{2}-bx+b=0, $ then what is the value of $ \sqrt{\frac{\alpha }{\beta }}+\sqrt{\frac{\beta }{\alpha }} $ ?
Options:
A) $ \sqrt{a/b} $
B) $ \sqrt{b/a} $
C) $ \sqrt{ab} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- Here, $ \alpha +\beta =\frac{b}{a},\alpha \beta =\frac{b}{a} $ So, $ \sqrt{\frac{\alpha }{\beta }}+\sqrt{\frac{\beta }{\alpha }}=\frac{\alpha +\beta }{\sqrt{\alpha \beta }}=\frac{b/a}{\sqrt{b/a}}=\sqrt{\frac{b}{a}} $
BETA
