A complex number z is said to be unimodular if . Suppose z1 and z2 are complex numbers such that
is unimodular and z2 is not unimodular.Then the point 1 lies on a :
straight line parallel to x-axis.
straight line parallel to y-axis.
circle of radius 2.
circle of radius
As we have learned
Property of conjugate of complex number -
- wherein
,
Given ,
Option 1)
straight line parallel to x-axis.
Option 2)
straight line parallel to y-axis.
Option 3)
circle of radius 2.
Option 4)
circle of radius