2. Given z ∈ℂ, z ≠ i such that (1+i z)/(z-i) is a real number, prove that |z|=1.

Name: 2. Given z ∈ℂ, z ≠ i such that (1+i z)/(z-i) is a real number, prove that |z|=1.
Uploaded: 2024-10-15T13:42:45-08:00
Duration: 3 min 5 s
Channel: Numerade
Description: 2. Given z ∈ℂ, z ≠ i such that (1+i z)/(z-i) is a real number, prove that |z|=1.

Question

Devarshee M · Answer

So, in this question, we have to calculate the uncertainty. So in this question, we have given t

Gaurav Kalra · Answer

I have given here this equation. I&#x27;m going to find out for mod of z squared. So we have mod of z

Adi S · Answer

As for the question we have given complex number w is equal to z plus 1 over z. We have to find

Khoobchandra Agrawal · Answer

Hi friends here it is given equation is mod of z minus 1 plus i equal to 2 we have to find geome

Suzanne W. · Answer

Okay, so we need to prove this to then explain why it&#x27;s called the parallelogram inequality. Let

Question

2. Given \( z \in \mathbb{C}, z \neq i \) such that \( \frac{1+i z}{z-i} \) is a real number, prove that \( |z|=1 \).

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