JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

w = \alpha + i\beta

, where

\beta \ne 0

and

z \ne 1

, satisfies the condition that

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

is purely real, then the set of values of

z

View answer and explanation

Correct option: B

\left| z \right| = 1

and

z \ne 1

Option B (

\left| z \right| = 1

and

z \ne 1

) is correct because the condition that

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

is purely real leads to

|z| = 1

, and since

z \ne 1

, the answer is

\left| z \right| = 1

and

z \ne 1

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