If the chord through the points whose eccentric angles are \( \theta \) and \( \phi \) on the el....

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If the chord through the points whose eccentric angles
\( \mathrm{P} \)
are \( \theta \) and \( \phi \) on the ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{9}=1 \) passes through a focus, then the value of \( \tan \left(\frac{\theta}{2}\right) \cdot \tan \left(\frac{\phi}{2}\right) \) is
(1) \( \frac{1}{9} \)
(2) -9
(3) \( -\frac{1}{9} \)
(4) 9
(4)(1)(18) (9)


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