If the chord joining two points whose eccentric \( \mathrm{P} \) an...

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If the chord joining two points whose eccentric
\( \mathrm{P} \) angles are \( \alpha \) and \( \beta \), cut the major axis of an ellipse

W at a distance \( c \) from the centre, then \( \tan \frac{\alpha}{2} \tan \frac{\beta}{2}= \)
(1) \( \frac{c+a}{c-a} \)
(2) \( \frac{c-a}{c+a} \)
(3) \( \frac{a-c}{a+c} \)
(4) \( \frac{a+c}{a-c} \)
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