\( \mathrm{P} \) If the chords of contact of tangents from two poin...

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\( \mathrm{P} \)
If the chords of contact of tangents from two points
W \( \left(x_{1}, y_{1}\right) \) and \( \left(x_{2}, y_{2}\right) \) to the hyperbola \( 4 x^{2}-9 y^{2}-36=0 \) are at right angles, then \( \frac{x_{1} x_{2}}{y_{1} y_{2}} \) is equal to
(1) \( \frac{9}{4} \)
(2) \( -\frac{9}{4} \)
(3) \( \frac{81}{16} \)
(4) \( -\frac{81}{16} \)
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