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JEE Math Practice Question

If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = $${\pi \over 2}$$ , then :

  1. A.$$z\overline w = {{1 - i} \over {\sqrt 2 }}$$
  2. B.$$\overline z w = i$$
  3. C.$$z\overline w = {{ - 1 + i} \over {\sqrt 2 }}$$
  4. D.$$\overline z w = -i$$

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