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S and T are the foci of the ellipse x^2/...

`S` and `T `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 `STB` is an equilateral triangle, the eccentricity of the ellipse is `e` then find value of `4e`

A

`1/sqrt2`

B

`1/3`

C

`1/2`

D

`sqrt3/2`

Text Solution

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The correct Answer is:
C
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