The equation of the hyperbola whose foci are $(6, 4)$ and $(-4, 4)$ and eccentricity $2$ is given by

  • A

    $12{x^2} - 4{y^2} - 24x + 32y - 127 = 0$

  • B

    $12{x^2} + 4{y^2} + 24x - 32y - 127 = 0$

  • C

    $12{x^2} - 4{y^2} - 24x - 32y + 127 = 0$

  • D

    $12{x^2} - 4{y^2} + 24x + 32y + 127 = 0$

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