Radical Axis Of Two Circles

(iii)If two circles cut a third circle orthogonally,then the radical axis of two circle will pass through the center of the third circle.

(iii)If two circles cut a third circle orthogonally; then the radical axis of two circle will pass through the center of the third circle .

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 radical axis of the circles, belonging to the coaxal system of circles whose limiting points are (1, 3) and (2, 6), is

The radical axis of the circles, belonging to the coaxal system of circles whose limiting points are (1, 3) and (2, 6), is

Find the radical axis of the circles x^2+y^2-6x+8y-12=0 and x^2+y^2+6x-8y+12=0 . Prove that the radical axis is perpendicular to the line joining the centers of the two circles.

LOL' and MOM' are two chords of parabola y^(2)=4ax with vertex A passing through a point O on its axis.Prove that the radical axis of the circles described on LL' and MM' as diameters passes though the vertex of the parabola.

(iv) The position of the radical axis of the two circles geometrically is as: