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

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

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

The locus of a point z in complex plane satisfying the condition arg((z-2)/(z+2))=(pi)/(2) is

The locus of the points z satisfying the condition arg ((z-1)/(z+1))=pi/3 is, a

If z is a complex number satisfying the equation arg((z-2-i)/(z-4i))=(pi)/(3) ,then image of z in the imaginary axis satisfies which of the following equation

The complex number z which satisfies the condition |(i +z)/(i-z)|=1 lies on: