Question

Let $z_1$ and $z_2$ be two non-zero complex numbers. Then

• A. Principal value of $\arg \left(z_1 z_2\right)$ may not be equal to Principal value of $\arg z_1+$ Principal value of $L_2$
• B. Principal value of $\arg \left(z_1 z_2\right)=$ Principal value of $\arg z_1+$ Principal value of $\arg z_2$
• C. Principal value of $\arg \left(z_1 / z_2\right)=$ Principal value of $\arg z_1-$ Principal value of $\arg z_2$
• D. Principal value of $\arg \left(z_1 / z_2\right)$ may not be $\arg z_1-\arg z_2$

Answer 1

Answer: (D)

$ \arg \left(z_1 z_2\right)=\underset{1}{L t}+\underset{2}{L t}+2 k \pi $ $ \arg \left(z_1 / z_2\right)=\arg z_1-\underset{2}{L t}+2 k \pi$