Circle And System Of Circles Question 115

Question: Two given circles $ x^{2}+y^{2}+ax+by+c=0 $ and $ x^{2}+y^{2}+dx+ey+f=0 $ will intersect each other orthogonally, only when

Options:

A) $ a+b+c=d+e+f $

B) $ ad+be=c+f $

C) $ ad+be=2c+2f $

D) $ 2ad+2be=c+f $

Show Answer

Answer:

Correct Answer: C

Solution:

From Condition for orthogonal intersection, $ \frac{ad}{2}+\frac{be}{2}=c+f $