Let z = a + ib where a, b ∈ℝ. If (z)/(z - i) is purely real, show that z is purely imaginary or

Question

Mir Afzal · Answer

Okay, in this question we are asked that if z equal to Z equal to a plus B j divide by C plus D

M Hassan Anwar · Answer

Question number 11. Z is equal to A plus J B over C plus J D is equal to A plus J B divisible by

Gopesh Vishwakarma · Answer

So according to this given problem we have given the complex number z is equals to x plus iY and

Gregory Higby · Answer

All right, so with setting this problem up as the, as defining Z as a complex number, A plus B,

Chris Trentman · Answer

We&#x27;re asked to prove statements about arbitrary complex numbers. So let Z and W be some complex

Let $z = a + ib$ where $a, b \in \mathbb{R}$. If $\frac{z}{z - i}$ is purely real, show that $z$ is purely imaginary or 0.