Sequence And Series Question 312

Question: The G.M. of roots of the equation $ x^{2}-18x+9=0 $ is

[RPET 1997]

Options:

A) 3

B) 4

C) 2

D) 1

Show Answer

Answer:

Correct Answer: A

Solution:

Let $ \alpha $ and $ \beta $ be the roots of equation $ x^{2}-18x+9=0 $
$ \therefore $ G.M. of $ \alpha $ and $ \beta $ $ =\sqrt{\alpha \beta }=\sqrt{9}=3 $ .