Show that the complex number `z ,` satisfying are `(z-1)/(z+1)=pi/4` lies on a circle.

The complex number z satisfying the condition arg{(z-1)/(z+1)}=(pi)/(4) lies on

The complex number z satisfying |z+1|=|z-1| and arg (z-1)/(z+1)=pi/4 , is

Show that the locus of complex variable z satisfying |(z-2)/(z+2)|=2 is a circle find the equation of the circle?

The complex number z satisfying the equation |z-i|=|z+1|=1

The complex number z satisfying z+|z|=1+7i then |z|^(2)=

The number of complex numbers satisfying (1 + i)z = i|z|

The locus of a complex number z satisfying |z-(1+3i)|+|z+3-6i|=4