Question

Let z be a complex number such that the principal value of argument, arg z > 0. Then arg z - arg (-z) is

• A. $\frac{Ï€}{2}$
• B. $Â\pm Ï€$
• C. $Ï€$
• D. $−π$

Answer 1

Answer: (C)

$arg\left(z\right)−arg\left(−z\right)=arg\left(\frac{z}{−z}\right)=arg\left(−1\right)=π$