Family of Circles Through Two Points

Rarely Tested
Circles through intersection of circle $$S=0$$ and line $$L=0$$:
$$S + \lambda L = 0$$
Through intersection of two circles $$S_1=0$$ and $$S_2=0$$:
$$S_1 + \lambda S_2 = 0$$ ($$\lambda \neq -1$$)
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