Circle And System Of Circles Question 147

Question: The equation $ ax^{2}+by^{2}+2hxy+2gx+2fy+c=0 $ will represent a circle, if

[MNR 1979; MP PET 1988; RPET 1997, 2003]

Options:

A) $ a=b=0 $ and $ c=0 $

B) $ f=g $ and $ h=0 $

C) $ a=b\ne 0 $ and $ h=0 $

D) $ f=g $ and $ c=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

$ a=b\ne 0 $ and $ h=0 $