If the circles \( x^{2}+y^{2}+2 a x+c=0 \) and \( x^{2}+y^{2}+2 b y+c=0 \) touch each other then...

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If the circles \( x^{2}+y^{2}+2 a x+c=0 \) and \( x^{2}+y^{2}+2 b y+c=0 \) touch each other then
(a) \( a^{-2}+b^{-2}=c^{-1} \)
(b) \( a^{-2}+b^{-2}=c^{-2} \)
(c) \( a+b=2 c \)
(d) \( \frac{1}{a}+\frac{1}{b}=\frac{2}{c} \)
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