JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

A complex number

z

is said to be unimodular if

|z|=1

.
Suppose

z_1

and

z_2

are complex numbers such that

\frac{z_1-2 z_2}{2-z_1 \bar{z}_2}

is unimodular and

z_2

is not unimodular. Then the point

z_1

lies on a

View answer and explanation

Correct option: A

circle of radius

z

The point

z_1

lies on a circle of radius 2 because the unimodular condition simplifies to

|z_1| = 2

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