Let $P$ is a point on hyperbola $x^2 -y^2 = 4$ , which is at minimum distance from $(0,-1)$ then distance of $P$ from $x-$ axis is

  • A

    $0$

  • B

    $\frac{1}{2}$

  • C

    $1$

  • D

    $\sqrt 2 $

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