Circle And System Of Circles Question 338

Question: The equation of director circle of the circle $ x^{2}+y^{2}=a^{2}, $ is

[BIT Ranchi 1990]

Options:

A) $ x^{2}+y^{2}=4a^{2} $

B) $ x^{2}+y^{2}=\sqrt{2}a^{2} $

C) $ x^{2}+y^{2}-2a^{2}=0 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Director circle has its radius $ \sqrt{2} $ times that of radius of the given circle.

Hence equation is $ x^{2}+y^{2}=2a^{2} $ .