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} $ .