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S1 and S2 are the foci of the elipse x^2...

`S_1 and S_2` are the foci of the elipse `x^2/sin^2 alpha+y^2/cos^2 alpha=1(alpha in (0,pi/4)) and P` is the point on the ellipse, then perimeter of triangle `PS_1 S_2` is

A

`(1+e)x^(2)+(1-e)y^(2)=a^(2)e^(2)`

B

`(1-e)x^(2)+(1+e)y^(2)=a^(2)`

C

`(1-e)x^(2)+(1+e)y^(2)=a^(2)e^(2)`

D

`(1+e)x^(2)+(1-e)y^(2)=a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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