z^(2)+|z|=0

If z^(2) + |z|^(2) = 0 , show that z is purely imaginary.

The z^(2)+z|z|+|z|^(2)=0, then locus of Z is

The number of solutions of the equation z^(2)+z=0 where z is a a complex number,is

Solve : z^2+|z|^2=0

Show that if iz^(3)+z^(2)-z+i=0, then |z|=1

If iz^(3)+z^(2)-z+i=0 then show that |z|=1.

If z^(2)+z|z|+|z^(2)|=0, then the locus z is a.a a circle b.a straight line c.a pair of straight line d.none of these

Number of solutions of the equation z^(2)+|z|^(2)=0 , where z in C , is