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\( \mathrm{P} \)
The circle whose equation are \( \mathrm{x}^{2}+\mathrm{y}^{2}+\mathrm{c}^{2}=2 a x \)
W and \( x^{2}+y^{2}+c^{2}-2 b y=0 \) will touch one another externally if
(1) \( \frac{1}{b^{2}}+\frac{1}{c^{2}}=\frac{1}{a^{2}} \)
(2) \( \frac{1}{c^{2}}+\frac{1}{a^{2}}=\frac{1}{b^{2}} \)
(3) \( \frac{1}{a^{2}}+\frac{1}{b^{2}}=\frac{1}{c^{2}} \)
(4) None of these
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