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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If zz and ww are two complex numbers such that ∣zw∣=1\left| {zw} \right| = 1 and arg (z) - arg (w)=π2(w) = \frac{\pi }{2}, then
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Correct option: A
zˉw=−i\bar zw = - i
Option A (zˉw=−i\bar zw = - i) is correct because, given the conditions on the magnitudes and arguments of z and w, the expression simplifies to -i.

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