Question

Let $z, w$ be two nonzero complex numbers. If $\bar{z} + i\overline{w} = 0$ and $\arg(zw) = \pi$, then $\arg z =$

• A. $\pi$
• B. $\frac{\pi}{2}$
• C. $\frac{\pi}{4}$
• D. $\frac{\pi}{6}$
• E. $\frac{\pi}{8}$

Hint:

Argument properties work similarly to logarithms. Always handle constants like $i$ and $-i$ by their standard arguments ($90^\circ$ and $-90^\circ$) before combining variables.

Answer 1

The Correct Option is B