Locus of the point of intersection of the tangents at the points with eccentric angles \( \phi \...

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Locus of the point of intersection of the tangents at the points with eccentric angles \( \phi \) and \( \frac{\pi}{2}-\phi \) on the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) is:
(A) \( x=a \)
(B) \( y=b \)
(C) \( x=a b \)
(D) \( y=a b \)
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