(ii)The radical axis bisects the common tangents of two circles.

Common tangent to two circles

Common Tangents of Circles

Two circle touch each other externally at the point (0,k) and y-axis is the common tangent to these circles. Centres of these circle lie on the line

Number of common tangents of two concentric circle are

R and r are the radius of two circles (R gt r) . If the distance between the centre of the two circles be d , then length of common tangent of two circles is

R and r are the radii of two circles (R > r). If the distance between the centres of the two circles be d, then length of common tangent of two circles is

If S = 0, S' =0 are two touching circles then angle between their radical axis and the common tangent at the at their points of contanct is

If S = 0, S' =0 are two touching circles then angle between their radical axis and the common tangent at the at their points of contanct is

Consider two statements S1 && S2 as s1: Radical Axis is identical to common chord of two circles which are intersecting S2: Radical Axis is locus of all such points such that lengths of tangents drawn from it to two circles are equal