A complex number z is said to be unimodular, if |z| ≠ 1. If z_1 and z_2 are complex numbers such that dfracz_1 - 2z_22 - z_1z_2 is unimodular and z_0 is not unimodular. Then, the point z_1 lies on a

straight line parallel to X-axis

straight line parallel to Y-axis

A complex number z is said to be unimodular, if |z| ≠ 1. If… — JEE Main 2015 Mathematics PYQ

JEE Main 2015

A complex number

z

is said to be unimodular, if

|z| \neq 1

. If

z_1

and

z_2

are complex numbers such that

\dfrac{z_1 - 2z_2}{2 - z_1\bar{z_2}}

is unimodular and

z_0

is not unimodular. Then, the point

z_1

lies on a

Show answer

Correct option: C

[JEE Main 2015]

Practise Complex Numbers and Quadratic Equations the way it is asked

A timed set of real JEE Main Complex Numbers and Quadratic Equations questions, graded as the exam grades. No sign-up.