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

arcMN is the arc of the circle with center O if

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.

Radical center || Family OF circle

The radical center of the three circles described on the sides of a triangle as diameters is the orthocenter of a triangle.

Three equal circles of radius unity touches one another.Radius of the circle touching all the three circles is:

In Fig, O is the center of the circle. Find the angle of triangleABC .

If P and Q a be a pair of conjugate points with respect to a circle S . Prove that the circle on PQ as diameter cuts the circle S orthogonally.