Radical Axis
Category : JEE Main & Advanced
The radical axis of two circles is the locus of a point which moves such that the lengths of the tangents drawn from it to the two circles are equal.
The equation of the radical axis of the two circle is \[{{S}_{1}}-{{S}_{2}}=0\] i.e., \[2x({{g}_{1}}-{{g}_{2}})+2y({{f}_{1}}-{{f}_{2}})+{{c}_{1}}-{{c}_{2}}=0\], which is a straight line.
Properties of the radical axis
(i) The radical axis and common chord are identical for two intersecting circles.
(ii) The radical axis is perpendicular to the straight line which joins the centres of the circles.
(iii) If two circles cut a third circle orthogonally, the radical axis of the two circles will pass through the centre of the third circle.
You need to login to perform this action.
You will be redirected in
3 sec
