Complex number qs (1 Viewer)

[Meaperism]

How do you do this question?
let z=a+ib, where a and b are real. If z/(z-i) is real, show that z is imaginary or 0

 

[jimmysmith560]

Would the following working help?

 

[Meaperism]

Would the following working help?

View attachment 46838

thank u!