The parametric representation of a point...

The parametric representation of a point on the ellipse whose foci are `(3,0)` and `(-1,0)` and eccentricity `2//3`, is a)`(1+3costheta,sqrt(3)sintheta)` b)`(1+3costheta,5sintheta)` c)`(1+3costheta,1+sqrt(5)sintheta)` d)`(1+3costheta,sqrt(5)sintheta)`

A

`(1+3costheta,sqrt(3)sintheta)`

B

`(1+3costheta,5sintheta)`

C

`(1+3costheta,1+sqrt(5)sintheta)`

D

`(1+3costheta,sqrt(5)sintheta)`

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The correct Answer is:

D

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