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Let (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , ...

Let `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , a gt b`, be an ellipse with foci `F_(1)` and `F_(2)`. Let AO be its semi-minor axis. Where O is the centre of the ellipse. The lines `AF_(1)` and `AF_(2)`, when extended, , cut the ellipse again at point B and C respectively. Suppose that the triangle ABC is equilateral. Then the eccentricity of the ellipse is

A

`1/sqrt2`

B

`1/sqrt3`

C

`1/3`

D

`1/2`

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KVPY PREVIOUS YEAR-SOLVED PAPER 2018-EXAMPLE
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