Locus of the point, the difference of the square of length of the tangents drawn from which to two given circle is constant is :

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.

Compare the length of the tangents drawn from the external point to circle.

The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a

The locus of a point which moves so that the difference of the squares of its distance from two given points is constant, is a

The locus of a point which moves so that the difference of the squares of its distance from two given points is constant, is a

The locus of a point which moves so that the difference of the squares of its distance from two given points is constant, is a

The locus of a point which moves so that the difference of the squares of its distance from two given points is constant, is a