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If the chords of contact from two points
\( \mathrm{P}^{17} \)
W \( (\alpha, \beta),(\gamma, \delta) \) to the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) are at right angles then \( \frac{\alpha \gamma}{\beta \delta} \) is equal to
(1) \( -\frac{a^{2}}{b^{2}} \)
(2) \( -\frac{b^{2}}{a^{2}} \)
(3) \( -\frac{b^{4}}{a^{4}} \)
(4) \( \frac{-a^{4}}{b^{4}} \)
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