Question

Arg z + Arg $\bar z. ( z \neq 0)$ is

• A. 0
• B. $\pi$
• C. $\frac {\pi} {2}$
• D. none of these

Answer 1

Answer: (C)

$\frac {\pi} {2}$

Answer 2

Let $z=re^{i\theta} \therefore \bar{z}=re^{-i\theta}\bigg]$ $\Rightarrow Arg, z+Arg. \bar{z}=\theta-\theta=0$. $[\because -\pi < \theta \le \pi$ for $Arg \,2]$