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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

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

B

`(cos alpha- sin beta)/(sin (alpha-beta))`

C

`(cos alpha- cos beta)/(cos (alpha-beta))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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