Circle And System Of Circles Question 225

Question: The equation of line passing through the points of intersection of the circles $ 3x^{2}+3y^{2}-2x+12y-9=0 $ and $ x^{2}+y^{2}+6x+2y-15=0 $ , is

[IIT 1986; UPSEAT 1999]

Options:

A) $ 10x-3y-18=0 $

B) $ 10x+3y-18=0 $

C) $ 10x+3y+18=0 $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Common chord $ =S_1-S_2 $

$ 10x-3y-18=0 $ .