If the chord through the points whose ec...

If the chord through the points whose eccentric angles are `theta` and `varphi` on the ellipse `(x^2)/(25)+(y^2)/9=1` passes through a focus, then the value of `tan(theta/2)tan(varphi/2)` is `1/9` (b) `-9` (c) `-1/9` (d) 9

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