If - - any two complex numbers such that - - - 1- -1- then which of the following may be true

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Standard XII

Mathematics

Polar Representation of a Complex Number

If α ,β any...

Question

If $α, β$ any two complex numbers such that $∣ ∣ \frac{α - β}{1 - α β} ∣ ∣ = 1$ , then which of the following may be true

| α | = 1

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| β | = 1

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α = e^{i θ}, θ ϵ R

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β = e^{i θ}, θ ϵ R

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Solution

The correct options are
A $| α | = 1$
B $| β | = 1$

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If α,β any two complex numbers such that ∣∣α−β1−αβ∣∣=1, then which of the following may be true

The correct options are A |α|=1 B |β|=1

If $α, β$ any two complex numbers such that $∣ ∣ \frac{α - β}{1 - α β} ∣ ∣ = 1$ , then which of the following may be true

The correct options are
A $| α | = 1$
B $| β | = 1$