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

The lengths of the two tangents drawn from ………….. point to a circle are equal.

Theorem: The length of two tangents drawn from an external point to a circle are equal.

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

Radical Axis Of Two Circles

Family OF Circles || Radical Axis || Radical Centre || Radical Circle || Common Chord OF two Circles

Shwo that the difference of the squares of the tangents to two coplanar circles from any point P in the plane of the circles varies as the perpendicular from P on their radical axis. Also, prove that the locus of a point such that the difference of the squares of the tangents from it to two given circles is constant is a line parallel to their radical axis.

Two circles touch each other internally. Show that the tangents drawn to the two circles from any point on the common tangent, are equal in length.

The radical axis of the two circleS and the line of centres of those circleS are

If the line y=2-x is tangent to the circle S at the point P(1,1) and circle S is orthogonal to the circle x^2+y^2+2x+2y-2=0 then find the length of tangent drawn from the point (2,2) to the circle S