Circle And System Of Circles Question 129
Question: The circle represented by the equation $ x^{2}+y^{2}+2gx+2fy+c=0 $ will be a point circle, if
Options:
A) $ g^{2}+f^{2}=c $
B) $ g^{2}+f^{2}>c $
C) $ g^{2}+f^{2}+c=0 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Using condition of point circle
$ R=\sqrt{g^{2}+f^{2}-c}=0\Rightarrow g^{2}+f^{2}=c $ .
BETA
