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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 . . .

A

`1/sqrt(2)`

B

`1/3`

C

`1/2`

D

`sqrt(3)/2`

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The correct Answer is:
C
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