Complex Numbers And Quadratic Equations question 77
Question: Modulus of $ ( \frac{3+2i}{3-2i} ) $ is [RPET 1996]
Options:
A) 1
B) 1/2
C) 2
D) $ \sqrt{2} $
Show Answer
Answer:
Correct Answer: A
Solution:
$ ( \frac{3+2i}{3-2i} )=( \frac{3+2i}{3-2i} )( \frac{3+2i}{3+2i} ) $ $ =\frac{9-4+12i}{13}=\frac{5}{13}+i( \frac{12}{13} ) $ Modulus = $ \sqrt{{{( \frac{5}{13} )}^{2}}+{{( \frac{12}{13} )}^{2}}=1} $ .
BETA
