The locus of the centre of a circle touching both the coordinate axes is

  • A
    $x^2 + y^2 = 0$
  • B
    $x^2 + y^2 = k$ (where $k$ is a non-zero constant)
  • C
    $x^2 - y^2 = 0$
  • D
    $x^2 - y^2 = k$ (where $k$ is a non-zero constant)

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