Circle And System Of Circles Question 202
Question: If $ g^{2}+f^{2}=c $ , then the equation $ x^{2}+y^{2}+2gx+2fy+c=0 $ will represent
[MP PET 2003]
Options:
A) A circle of radius g
B) A circle of radius f
C) A circle of diameter $ \sqrt{c} $
D) A circle of radius 0
Show Answer
Answer:
Correct Answer: D
Solution:
Radius of given circle $ =\sqrt{g^{2}+f^{2}-c} $
$ g^{2}+f^{2}=c $ (given),
$ \therefore $ Radius = 0.