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There are exactly two points on the elli...

There are exactly two points on the ellipse `x^2/a^2+y^2/b^2=1`,whose distance from its centre is same and equal to `sqrt((a^2+2b^2)/2)`. The eccentricity of the ellipse is: (A) `1/2` (B) `1/sqrt2` (C) `sqrt2/3` (D) `sqrt3/2`

A

`(1)/(2)`

B

`(1)/(sqrt(2))`

C

`(1)/(4)`

D

`(1)/(3)`

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