\( P \) is a point \( (a, b) \) in the first quadrant. If the two circles which pass through \( ...

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\( P \) is a point \( (a, b) \) in the first quadrant. If the two circles which pass through \( P \) and touch both the co-ordinate axes cut at right angles, then
(a) \( a^{2}-6 a b+b^{2}=0 \)
(b) \( a^{2}+2 a b-b^{2}=0 \)
(c) \( a^{2}-4 a b+b^{2}=0 \)
(d) \( a^{2}-8 a b+b^{2}=0 \)
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