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A circle whose diameter is major aixs of ellipe `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (agtbgt0)` meets minor axis at point P. Ifthe orthocentre of `DeltaPF_(1)F_(2) ` lies on ellipse where `F_(1)and F_(2)` are foci of ellipse , then find the eccenricity of the ellipse

A

`(sqrt5-1)/(2)`

B

`sqrt3-1`

C

`(1)/(sqrt2)`

D

`(sqrt3)/(2)`

Text Solution

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The correct Answer is:
A
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