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Let \( P(a \sec \theta, b \tan \theta) \) and \( Q(a \sec \phi, b \tan \phi) \), where \( \theta+\phi=\frac{\pi}{2} \), be two points on the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \).
\( \mathrm{P} \)
If \( (h, k) \) is the point of the intersection of the normals at
WV \( P \) and \( Q \), then \( k \) is equal to
\( (1999,2 \mathrm{M}) \)
(a) \( \frac{a^{2}+b^{2}}{a} \)
(b) \( -\left(\frac{a^{2}+b^{2}}{a}\right) \)
(c) \( \frac{a^{2}+b^{2}}{b} \)
(d) \( -\left(\frac{a^{2}+b^{2}}{b}\right) \)
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