Q98 / 160 · AP EAMCET 2017 (26 Apr Shift 2) · Mathematics

If the eccentric angles of the extremeties of a focal chord (other than the major axis) of the ellipse $\frac{x^2}{25}+\frac{y^2}{9}=1$ are $\alpha$ and $\beta$ then $\frac{\cot \left(\frac{\alpha}{2}\right)}{\tan \left(\frac{\beta}{2}\right)}=$

A
$\frac{4}{3}$
Correct answer
B
-9
C
9
D
$\frac{4}{5}$

Hence, the correct answer is option: 'B'.

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