Question

$z_1$ and $z_2$ are two non-zero complex numbers such that $|z_1|=|z_2|$ and $arg{z}_1+arg{z}_2=\pi$, then $z_2$ equals

• A. $\overline{z_1}$
• B. $-\overline{z_1}$
• C. $z_1$
• D. $-z_1$

Answer 1

The correct option is D $-z_1$

$-z_1$

as, $arg{z}_{+}arg{z}_{=}\pi$