The equation of the locus of $z$ such that $\left|\frac{z-i}{z+i}\right|=2$,where $z=x+iy$ is a complex number,is

  • A
    $3x^2+3y^2+10y-3=0$
  • B
    $3x^2+3y^2+10y+3=0$
  • C
    $3x^2-3y^2-10y-3=0$
  • D
    $x^2+y^2-5y+3=0$

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