Complex Numbers And Quadratic Equations question 109

Question: Amplitude of $ ( \frac{1-i}{1+i} ) $ is [RPET 1996]

Options:

A) -p/2

p/2

p/4

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 $ .



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