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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` . If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is (a) `1-1/(sqrt(2))` (b) `2sqrt(2)-2` (c) `sqrt(2)-1` (d) none of these

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