Circle And System Of Circles Question 88

Question: The equation of the circle which touches both the axes and whose radius is a, is

[MP PET 1984]

Options:

A) $ x^{2}+y^{2}-2ax-2ay+a^{2}=0 $

B) $ x^{2}+y^{2}+ax+ay-a^{2}=0 $

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

D) $ x^{2}+y^{2}-ax-ay+a^{2}=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

Required equation is $ {{(x-a)}^{2}}+{{(y-a)}^{2}}=a^{2} $

$ \Rightarrow x^{2}+y^{2}-2ax-2ay+a^{2}=0 $ .