If the two circles \( x^{2}+y^{2}+2 g x+2 f y=0 \) and \( x^{2}+y^{... VIDEO
If the two circles \( x^{2}+y^{2}+2 g x+2 f y=0 \) and \( x^{2}+y^{2}+2 g_{1} x+2 f_{1} y=0 \) touch each other, then
(a) \( f_{1} g=f g_{1} \)
(b) \( f f_{1}=g g_{1} \)
(c) \( f^{2}+g^{2}=f_{1}^{2}+g_{1}^{2} \)
(d) none of these
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