Complex Numbers And Quadratic Equations question 342

Question: If $ z_1 $ and $ z_2 $ are two complex numbers, then $ |z_1+z_2| $ is [RPET 1985; MP PET 1987, 2004; Kerala (Engg.) 2002]

Options:

A) $ \le |z_1|+|z_2| $

B) $ \le |z_1|-|z_2| $

C) $ <|z_1|+|z_2| $

D) $ >|z_1|+|z_2| $

Show Answer

Answer:

Correct Answer: A

Solution:

$ |z_1+z_2|\le |z_1|+|z_2| $