Circle And System Of Circles Question 32

Question: The locus of the centre of a circle which always passes through the fixed points (a, 0) and $ (-a,\ 0) $ , is

Options:

A) $ x=1 $

B) $ x+y=6 $

C) $ x+y=2a $

D) $ x=0 $

Show Answer

Answer:

Correct Answer: D

Solution:

Perpendicular bisector of join of the two points $ (a,\ 0) $ and $ (-a,\ 0) $ i.e., $ x=0 $ .