Question

If z is a complex number, then

(a) ${\left|z\right|}^2>{\left|z\right|}^2$
(b) ${\left|z\right|}^2={\left|z\right|}^2$
(c) ${\left|z\right|}^2<{\left|z\right|}^2$
(d) ${\left|z\right|}^2\ge {\left|z\right|}^2$

Answer 1

It is obvious that, for any complex number z,
${\left|z\right|}^2={\left|z\right|}^2$

Hence, the correct option is (b).