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The ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

The ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1(b gt a)` and the parabola `y^(2) = 4ax` cut at right angles. If e is the eccentricity of the ellipse, then `2e^(2)` =

A

A 1

B

B `(1)/(2)`

C

C `(1)/(8)`

D

D `(1)/(3)`

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