The equation of the hyperbola whose foci are the foci of the ellipse $\frac{{{x^2}}}{{25}} + \frac{{{y^2}}}{9} = 1$ and the eccentricity is $2$, is

  • A

    $\frac{{{x^2}}}{4} + \frac{{{y^2}}}{{12}} = 1$

  • B

    $\frac{{{x^2}}}{4} - \frac{{{y^2}}}{{12}} = 1$

  • C

    $\frac{{{x^2}}}{{12}} + \frac{{{y^2}}}{4} = 1$

  • D

    $\frac{{{x^2}}}{{12}} - \frac{{{y^2}}}{4} = 1$

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