Circle And System Of Circles Question 271

Question: The radical axis of two circles and the line joining their centres are

[Karnataka CET 2001]

Options:

A) Parallel

B) Perpendicular

C) Neither parallel, nor perpendicular

D) Intersecting, but not fully perpendicular

Show Answer

Answer:

Correct Answer: B

Solution:

We know that the radical axis of two circles is the locus of a point which moves in such a way that the lengths of the tangents drawn from it to the two circles are equal. It is a line perpendicular to the line joining the centres of two circles.