If the amplitude of $z-2-3i$ is $\frac{\pi}{4}$,then the locus of $z=x+iy$ is:

  • A
    $x-y+1=0$
  • B
    $x-y-1=0$
  • C
    $x+y-1=0$
  • D
    $x+y+1=0$

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