Question

The value of $Im\left(z\overline{z}\right)$

• A. is $1$
• B. is $0$
• C. is $-1$
• D. depends on $z$

Answer 1

The correct option is B is $0$

For any complex number $z,$
$z\overline{z}=|z{|}^2,$ which is a real number.
$\therefore Im\left(z\overline{z}\right)=0$