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JEE Math Practice Question

If $$\,\omega = {z \over {z - {1 \over 3}i}}\,$$ and $$\left| \omega \right| = 1$$, then $$z$$ lies on :

  1. A.an ellipse
  2. B.a circle
  3. C.a straight line
  4. D.a parabola

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