If `z` is a complex number such taht `z^2=( barz)^2,` then find the location of `z` on the Argand plane.

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

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

Find the complex number z if z^2+barz =0

If z is a nonzero complex number then (bar(z^-1))=(barz)^-1 .

If z is a complex number such that |z - barz| +|z + barz| = 4 then find the area bounded by the locus of z.

Find all complex numbers satisfying barz = z^2 .

Consider the region S of complex numbers a such that |z^(2) - az + 1|=1 , where |z|=1 . Then area of S in the Argand plane is

Find the complex number z if zbarz = 2 and z + barz=2

Find the locus of a complex number z=x+ iy satisfying the relation |2z+3i|<=|2z+5|. Illustrate the locus in Argand plane.