Complex Numbers And Quadratic Equations question 65

Question: The product of two complex numbers each of unit modulus is also a complex number, of

Options:

A) Unit modulus

B) Less than unit modulus

C) Greater than unit modulus

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

If $ |z_1|=1 $ and $ |z_2|=1, $ then $ |z_1z_2|=|z_1||z_2|=1.1=1 $