The equation of the hyperbola whose directrix is $x + 2y = 1$, focus $(2, 1)$ and eccentricity $2$ will be

  • A

    ${x^2} - 16xy - 11{y^2} - 12x + 6y + 21 = 0$

  • B

    $3{x^2} + 16xy + 15{y^2} - 4x - 14y - 1 = 0$

  • C

    ${x^2} + 16xy + 11{y^2} - 12x - 6y + 21 = 0$

  • D

    None of these

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