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JEE Math Practice Question

If z1 , z2 are complex numbers such that Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1| , and arg(z1 - z2) = $${\pi \over 6}$$, then Im(z1 + z2 ) is equal to :

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

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