Question

Q.44 if z is a complex number with non-zero constant modulus such that z2 is purely imaginary, then

Answer 1

A complex number z is said to be unimodular if . Suppose

and

are complex numbers such that

is unimodular and

is not unimodular. Then the point

lies on a : (1) straight line parallel to x-axis (2) straight line parallel to y-axis (3) circle of radius 2 (4) circle of radius