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The point of intersection of tangents at \( t_{1} \) and \( t_{2} \) to
\( \mathrm{P} \) the hyperbola \( x y=c^{2} \) is

W
(1) \( \left(\frac{c t_{1} t_{2}}{t_{1}+t_{2}}, \frac{c}{t_{1}+t_{2}}\right) \)
(2) \( \left(\frac{2 c t_{1} t_{2}}{t_{1}+t_{2}}, \frac{2 c}{t_{1}+t_{2}}\right) \)
(3) \( \left(\frac{t_{1} t_{2}}{c\left(t_{1}+t_{2}\right)}, \frac{t_{1}+t_{2}}{c}\right) \)
(4) None of these
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