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.