JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

\omega=\alpha+i \beta

, where

\beta \neq 0, i=\sqrt{-1}

and

z \neq 1

, satisfies the condition that

\left(\frac{\omega-\bar{\omega} z}{1-z}\right)

is purely real, the set of values of

z

View answer and explanation

Correct option: D

\{z:|z|=1, z \neq 1\}

Option D (

\{z:|z|=1, z \neq 1\}

) is correct because the condition leads to

|z|=1

and

z \neq 1

due to the purely real constraint.

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