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 $ .