If the amplitude of $(z-1-2i)$ is $\frac{\pi}{3}$,then the locus of $z$ is

  • A
    $y=\sqrt{3}x+(2-\sqrt{3})$
  • B
    $y=\sqrt{3}x-\sqrt{3}$
  • C
    $x=\sqrt{3}y+(2-\sqrt{3})$
  • D
    $y=\sqrt{3}x+2$

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