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| \leq |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 modulus.