The radical center of three given circles will be the center of a fourth circle which cuts all the three circles orthogonally.

The circles having radii 1,2,3 touch each other externally then find the radius of the circle which cuts the three circles orthogonally.

STATEMENT-1: If three circles which are such that their centres are non-collinear,then exactly one circle STATEMENT-2: Radical axis for two intersecting circles is the common chord exists which cuts the three circles orthogonally

The circles having radii 1,2,3, touch each other externally then find the radius of the circle which cuts the three circles orthogonally

The locus of the center of a variable circle which always touches two given circles externally is

The circles having radii 1, 2, 3 touch cach other externally then the radius of the circle which cuts three circles orthogonally is

The circles having radii 1, 2, 3 touch cach other externally then the radius of the circle which cuts three circles orthogonally is

Two circles are given such that they neither intersect nor touch. Then identify the locus of the center of variable circle which touches both the circles externally.