Complex Numbers And Quadratic Equations question 279
Question: If cube root of 1 is $ \omega $ , then the value of $ {{(3+\omega +3{{\omega }^{2}})}^{4}} $ is [MP PET 2001]
Options:
0
16
C) $ 16\omega $
D) $ 16{{\omega }^{2}} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ {{(3+\omega +3{{\omega }^{2}})}^{4}} $ $ ={{(3\omega +\omega )}^{4}} $ $ [\because \omega +{{\omega }^{2}}=-1] $ = $ {{(4\omega )}^{4}}=256{{\omega }^{4}}=256\omega $ .
BETA
