Question

What is Family of circles?

Answer

Family of circles are any circle passing through the intersection of two circles.
$S_1=x^2+y^2+{\mathrm{2g}}_{1}x+2f_{1}y+c_1=0$
$S_2=x^2+y^2+{\mathrm{2g}}_{2}x+2f_{2}y+c_2=0$
$\mathrm{will\; be\; given\; by\; the\; equation.}$
$S_1+k{S}_2=0$
$\text{where }k \; =\; constant.$

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