The curve represented by `Re(z^2)=4`

The curve represented by Im(z^2)=c^2 is

The curve represented by |z| = Re(z) + 2 is

The region represented by RE(z)<=2,Im(z)<=2 and (pi)/(8)<=arg(z)<=(3 pi)/(8) lies in

Let C_(1) be the curve represented by (2z + i)/(z-2) is purely imaginary, and C_(2) be the curve represented by arg ((z+i)/(z+1))=(pi)/(2) . Let m = slope of the common chord of C_(1) and C_(2) , then |m| is equal to ___________.

The region represented by {z=x+iy in C:|z|-"Re"(z) le 1} is also given by the inequality :

Re((z+4)/(2z-1)) = 1/2 , then z is represented by a point lying on

Re((z+4)/(2z-1))=(1)/(2), then z is represented by a point lying on