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If alpha and beta are the eccentric an...

If `alpha and beta` are the eccentric angles of the extremities of a focal chord of an ellipse, then prove that the eccentricity of the ellipse is `(sinalpha+sinbeta)/("sin"(alpha+beta))`

A

`(sin alpha+ sin beta)/(sin(alpha+beta))`

B

`(cos alpha+ cos beta)/(cos(alpha+beta))`

C

`(sin(alpha+beta))/(sin(alpha+beta))`

D

none of these

Text Solution

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The correct Answer is:
A
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