Complex Numbers And Quadratic Equations question 110

Question: Which of the following are correct for any two complex numbers $ z_1 $ and $ z_2 $ [Roorkee 1998]

Options:

A) $ |z_1z_2|=|z_1||z_2| $

B) $ arg(z_1z_2)=(argz_1)(argz_2) $

C) $ |z_1+z_2|=|z_1|+|z_2| $

D) $ |z_1-z_2|\ge |z_1|-|z_2| $

Show Answer

Answer:

Correct Answer: D

Solution:

These are the properties of moduli.