If \( z \) and \( w \) are two complex numbers such that \( |z w|=1...

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If \( z \) and \( w \) are two complex numbers such that \( |z w|=1 \) and \( \arg (z)-\arg (w)=\frac{\pi}{2} \), then \( \quad \) (2019 Main, 10 April II)
\( \mathrm{P} \)
(a) \( \bar{z} w=-i \)
(b) \( z \bar{w}=\frac{1-i}{\sqrt{2}} \)
(c) \( \bar{z} w=i \)
(d) \( z \bar{w}=\frac{-1+i}{\sqrt{2}} \)
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