Question

if z=x+iy and w=(1-iz)÷z-1 then |w|=1 impies that in comlex plane where z lies

Answer 1

Here |w|=1
So that w=1 or w=-1
First one let w=1
W=1-iz/z-1
z-1=1-iz
Z+iz=2
z=1
i =1

If Z=x+iy
x+y=1