If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of the ellipse is

  • [JEE MAIN 2015]
  • A

    $\frac{{2\sqrt 2  - 1}}{2}$

  • B

    $\sqrt 2  - 1$

  • C

    $\frac{1}{2}$

  • D

    $\frac{{\sqrt 2  - 1}}{2}$

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