If z is a complex number, show that `|z|^2 = |z^2|`

If z is a complex number,show that |z|^(2)=|z^(2)|

for a complex number z, Show that |z|=0 z=0

If z is a complex number such that |z|>=2 then the minimum value of |z+(1)/(2)| is

If z be any complex number such that |3z-2|+|3z+2|=4 , then show that locus of z is a line-segment.

If z is a complex number,then |z|^(2)>|z|^(2) b.|z|^(2)=|z|^(2) c.|z|^(2) =|z|^(2)

If z is a complex number such that |z+(1)/(z)|=1 show that Re(z)=0 when |z| is the maximum.

Let |(barz_1-2barz_2)/(2-z_1barz_2)|=1 and |z_2|!=1 where z_1 and z_2 are complex numbers show that |z_1|=2

If z is a complex number such that Re(z)=Im(2), then

Find the complex number z such that z^2+|z|=0