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Question

If the radical axis of the circles with centresC1,C2 bisects the line joining their centre, then their radii are

A
unequal
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B
can not say
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C
equal
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D
one is square of other
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Solution

The correct option is C equal
The radical axis of 2 circles is the locus of point from where length of tangent segments to both the circles is equal. Also, the radical axis is perpendicular to the line joining the centres of both the circles and its distance form the centre of C1 is proportional to the radius of C1. Hence, if radical axis bisects the line joining centers of both the circles, they have equal radii.

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