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Question

Mathematics Question on Complex Numbers and Quadratic Equations

If z and ω\omega are non-zero complex numbers such that zω=1|z\omega|=1 and arg(z)arg(ω)=π2arg(z)-arg(\omega)=\frac{\pi}{2}, then zˉω\bar{z}\omega is equal to

A

1

B

-1

C

i

D

-i

Answer

-i

Explanation

Solution

The correct option is (D): -i