class 11

Math

Algebra

Complex Number and Quadratic Equations

A complex number z is said to be unimodular if . Suppose $z_{1}$and $z_{2}$are complex numbers such that $2−z_{1}z_{2}z_{1}−2z_{2} $is unimodular and $z_{2}$is not unimodular. Then the point $z_{1}$lies on a :

- straight line parallel to x-axis
- straight line parallel to y-axis
- circle of radius 2
- circle of radius $2 $