If z is complex number such that `z^(2)=(bar(z))^(2)`, then find the location of z on the Argand plane

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

If z=x+iy is a complex number such that |z|=Re(iz)+1 , then the locus of z is

If z is a complex number such that z+ |z|=8 +12i then the value of |z^2| is

If z is a complex number with absz=2 and arg(z)=(4pi)/3 . then Find overline z

If |z+bar(z)|= |z-bar(z)| , then the locus of z is

Let z=x+iy be a complex number such that |z+i|=2 . Then the locus of z is a circle whose centre and radius are

If z is a complex number with absz=2 and arg(z)=(4pi)/3 , then express z in a+ib form.

If z is a complex number with absz=2 and arg(z)=(4pi)/3 . then Verify that (overline z)^2=2z

If the conjugate of a complex number z is (1)/(i-1) , then z is

Consider the complex number z=(1+3i)/(1-2i) . Write z in the form a+ib