Complex Numbers And Quadratic Equations question 105
Question: If $ z_1,z_2\in C $ , then $ amp( \frac{{z_1}}{{{{\text{\bar{z}}}}_2}} )= $
Options:
A) $ amp(z_1{{\overline{z}}_2}) $
B) $ amp({{\overline{z}}_1}z_2) $
C) $ amp( \frac{z_2}{{{{\bar{z}}}_1}} ) $
D) $ amp( \frac{z_1}{z_2} ) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ arg( \frac{z_1}{{{{\bar{z}}}_2}} )=argz_1-arg({{\overline{z}}_2})=argz_1+argz_2 $ $ =arg(z_1.z_2) $ Option (c) gives the same result.
BETA
