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A parabola is drawn with focus at one of...

A parabola is drawn with focus at one of the foci of the ellipse `x^2/a^2+y^2/b^2=1` where `a gt b` , and directrix passing through the other focus and perpendicular to the major axis of the ellipse. If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is

A

`1-1/sqrt2`

B

`2sqrt2-2`

C

`sqrt2-1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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