Radical center || Family OF circle

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

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

A,B,C are the centers of the three circles c_(1),c_(2),c_(3) such that c_(1),c_(2) touch each other externally and they both touch crom inside then the radical center of the circles is for triangle ABC

Statement 1 : Let S_1: x^2+y^2-10 x-12 y-39=0, S_2 x^2+y^2-2x-4y+1=0 and S_3:2x^2+2y^2-20 x=24 y+78=0. The radical center of these circles taken pairwise is (-2,-3)dot Statement 2 : The point of intersection of three radical axes of three circles taken in pairs is known as the radical center.

Chord of contact | Family of circles

Chord of contact | Family of circles

Find the radical center of the circles x^(2)+y^(2)+4x+6y=19,x^(2)+y^(2)=9,x^(2)+y^(2)-2x-4y=5

Questions based on Family OF circle

Family OF Circles ||Radical Axis ,Radical Centre,Radical Circle and Common Chord

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