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Radical Axis of Two Circles

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. Radical axis of two circles
 
S x2 + y2 + 2gx + 2fy + c = 0  ...(7)
 
S  x2 + y2 + 2g1x + 2f1y + c1 = 0  ...(8)
 
is SS = 0 or 2 (g g1) x + 2 (f f1) y + c − c1 = 0
 
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