Complex Numbers And Quadratic Equations question 385
Question: If $ n $ is a positive integer, then which of the following relations is false
Options:
A) $ i^{4n}=1 $
B) $ {i^{4n-1}}=i $
C) $ {i^{4n+1}}=i $
D) $ {i^{-4n}}=1 $
Show Answer
Answer:
Correct Answer: B
Solution:
We know that $ i^{2}=-1 $
Þ $ {{(i^{2})}^{2}}={{(-1)}^{2}}=1\Rightarrow i^{4n}=1^{n} $ and therefore $ {i^{4n-1}}=-i $
BETA
