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JEE Math Practice Question

If $$z=x+i y$$ satisfies $$|z|-2=0$$ and $$|z-i|-|z+5 i|=0$$, then :

  1. A.$$x+2 y-4=0$$
  2. B.$$x^{2}+y-4=0$$
  3. C.$$x+2 y+4=0$$
  4. D.$$x^{2}-y+3=0$$

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