The tangents to \( x^{2}+y^{2}=a^{2} \) having inclinations \( \alp...

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The tangents to \( x^{2}+y^{2}=a^{2} \) having inclinations \( \alpha \) and \( \beta \) intersect at \( P \). If \( \cot \alpha \) \( +\cot \beta=0 \), then the locus of \( P \) is
\( \mathrm{P} \)
(A) \( x+y=0 \)
(B) \( x-y=0 \)
W
(C) \( x y=0 \)
(D) None of these.
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