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JEE Math Practice Question

If the four complex numbers $$z,\overline z ,\overline z - 2{\mathop{\rm Re}\nolimits} \left( {\overline z } \right)$$ and $$z-2Re(z)$$ represent the vertices of a square of side 4 units in the Argand plane, then $$|z|$$ is equal to :

  1. A.4$$\sqrt 2 $$
  2. B.4
  3. C.2
  4. D.2$$\sqrt 2 $$

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