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JEE Math Practice Question

Let a complex number be w = 1 $$-$$ $${\sqrt 3 }$$i. Let another complex number z be such that |zw| = 1 and arg(z) $$-$$ arg(w) = $${\pi \over 2}$$. Then the area of the triangle with vertices origin, z and w is equal to :

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

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