Circle And System Of Circles Question 87
Question: If the circle $ x^{2}+y^{2}+2gx+2fy+c=0 $ touches x-axis, then
Options:
A) $ g=f $
B) $ g^{2}=c $
C) $ f^{2}=c $
D) $ g^{2}+f^{2}=c $
Show Answer
Answer:
Correct Answer: B
Solution:
Touches x-axis,
Hence radius = ordinate of centre.
Hence $ \sqrt{g^{2}+f^{2}-c}=(-f) $ or $ g^{2}=c $ .