If there are two points \( A \) and \( B \) on rectangular hyperbola \( x y=c^{2} \) such that a...

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If there are two points \( A \) and \( B \) on rectangular hyperbola \( x y=c^{2} \) such that abscissa of \( A= \) ordinate
\( \mathrm{P} \) of \( B \), then the locus of point of intersection of

W tangents at \( A \) and \( B \) is
(a) \( y^{2}=x^{2}+2 c^{2} \)
(b) \( y^{2}=x^{2}+\frac{c^{2}}{2} \)
(c) \( y=x \)
(d) \( y=3 x \)
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