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 $ .