If `z=x+i ya n dw=(1-i z)//(z-i)` , then show that `|w|1 z` is purely real.

Similar Questions

Explore conceptually related problems

If z=x+iy and w=(1-iz)/(z-i), show that |w|=1o+_(z) is purely real.

If (1+i)z=(1-i)phi z, then show that z=-iz

If (1+i)z = (1-i)barz, "then show that "z = -ibarz.

If z=x+iy and omega=(1-iz)/(z-i) , then |omega|=1 implies that in the complex plane

Prove that z=i^(i), where i=sqrt(-1), is purely real.

If (1+i)z=(1-i)bar(z) then z is