Circle And System Of Circles Question 153
Question: If the radius of the circle $ x^{2}+y^{2}+2gx+2fy+c=0 $ be r, then it will touch both the axes, if
Options:
A) $ g=f=r $
B) $ g=f=c=r $
C) $ g=f=\sqrt{c}=r $
D) $ g=f $ and $ c^{2}=r $
Show Answer
Answer:
Correct Answer: C
Solution:
Conditions are $ g=f=r $ and $ \sqrt{g^{2}+f^{2}-c}=r $
$ \Rightarrow g=\sqrt{c} $ .
BETA
