Circle And System Of Circles Question 254

Question: The circle $ x^{2}+y^{2}+2gx+2fy+c=0 $ bisects the circumference of the circle $ x^{2}+y^{2}+2g’x+2f’y+c’=0 $ , if

Options:

A) $ 2g’(g-g’)+2f’(f-f’)=c-c’ $

B) $ g’(g-g’)+f’(f-f’)=c-c’ $

C) $ f(g-g’)+g(f-f’)=c-c’ $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Common chord $ S_1-S_2=0 $ passes through the centre of $ S_2=0 $ .