Complex Numbers And Quadratic Equations question 109
Question: Amplitude of $ ( \frac{1-i}{1+i} ) $ is [RPET 1996]
Options:
A) -p/2
B) p/2
C) p/4
D) p/6
Show Answer
Answer:
Correct Answer: A
Solution:
$ ( \frac{1-i}{1+i} )=\frac{1-i}{1+i}\times \frac{1-i}{1-i}=\frac{{{(1-i)}^{2}}}{2}=\frac{-2i}{2}=-i $ $ Im(z)<0 $ , Hence amplitude = $ -\pi /2 $ .
BETA
