Radical axis of two circles and line joining their centres are

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10-1.Circle and System of Circles

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

A

Parallel

B

Perpendicular

C

Neither parallel, nor perpendicular

D

Intersecting, but not fully perpendicular

Solution

(b) 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.

Standard 11

Mathematics

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