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If alpha,beta are the ends of a focal ch...

If `alpha,beta` are the ends of a focal chord of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` then its eccentricity e is

A

`(1+tan(alpha)/(2)tan(beta)/(2))/(1-tan (alpha)/(2)tan (beta)/(2))`

B

`(1-tan(alpha)/(2)tan(beta)/(2))/(1+tan (alpha)/(2)tan (beta)/(2))`

C

`(tan(alpha)/(2)tan(beta)/(2)+1)/(tan(alpha)/(2)tan (beta)/(2)-1)`

D

`(tan(alpha)/(2)tan(beta)/(2)-1)/(tan (alpha)/(2)tan (beta)/(2)+1)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-ELLIPSE-EXERCISE-II
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