If end points of latus rectum of an ellipse are vertices of a square, then eccentricity of ellipse will be -

  • A

    $\frac{1}{{\sqrt 2 }}$

  • B

    $\frac{{\sqrt 5 \, + \,\,1}}{4}$

  • C

    $\frac{{\sqrt 5 \, - \,\,1}}{4}$

  • D

    $\frac{{\sqrt 5 \, - \,\,1}}{2}$

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