The locus of a point which moves in such a way that its distance from $(0,0)$ is three times its distance from the $x$-axis is given by:

  • A
    ${x^2} - 8{y^2} = 0$
  • B
    ${x^2} + 8{y^2} = 0$
  • C
    $4{x^2} - {y^2} = 0$
  • D
    ${x^2} - 4{y^2} = 0$

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