Radical Axis of Two Circles

Rarely Tested

Radical Axis of Two Circles

For two circles:

$$S_1=x^2+y^2+2g_1x+2f_1y+c_1=0$$

and:

$$S_2=x^2+y^2+2g_2x+2f_2y+c_2=0$$

their radical axis is:

$$S_1-S_2=0$$

Usage

- Used to find the locus of points having equal powers with respect to two circles.

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