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Pa n dQ are the foci of the ellipse (x^2...

`Pa n dQ` are the foci of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` and `B` is an end of the minor axis. If `P B Q` is an equilateral triangle, then the eccentricity of the ellipse is `1/(sqrt(2))` (b) `1/3` (d) `1/2` (d) `(sqrt(3))/2`

A

`1//sqrt(2)`

B

`1//3`

C

`1//2`

D

`sqrt(3)//2`

Text Solution

Verified by Experts

We have PQ=BP
or `2ae=sqrt(a^(2)e^(2)+b^(2))=sqrt(a^(2))=a`
or `e=(1)/(2)`
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