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

Solution

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