Question

If $z$ and $?$ are two non-zero complex numbers such that $|z?| = 1$, and Arg $(z)$ - Arg $\left(\omega\right)=\frac{\pi}{2},$ then $\bar{z}\omega$ is equal to

• A. 1
• B. -1
• C. i
• D. -i

Answer 1

Answer: (D)

-i

Answer 2

Arg $\left(\frac{z}{\omega}\right)=\frac{\pi}{2}$ $\left|z\omega\right|=1$ $\bar{z}\,\omega=-i$ or $+i.$