The coordinates of the points $A$ and $B$ are $(a, 0)$ and $(-a, 0)$ respectively. If a point $P$ moves such that $PA^2 - PB^2 = 2k^2$,where $k$ is a constant,then the equation to the locus of the point $P$ is:

  • A
    $2ax - k^2 = 0$
  • B
    $2ax + k^2 = 0$
  • C
    $2ay - k^2 = 0$
  • D
    $2ay + k^2 = 0$

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