The equation of the hyperbola referred to its axes as axes of coordinate and whose distance between the foci is $16$ and eccentricity is $\sqrt 2 $, is

  • A

    ${x^2} - {y^2} = 16$

  • B

    ${x^2} - {y^2} = 32$

  • C

    ${x^2} - 2{y^2} = 16$

  • D

    ${y^2} - {x^2} = 16$

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