Complex Numbers And Quadratic Equations question 394

Question: If $ i=\sqrt{-1} $ , then $ 1+i^{2}+i^{3}-i^{6}+i^{8} $ is equal to [RPET 1995]

Options:

A) $ 2-i $

B) 1

C) 3

D) $ -1 $

Show Answer

Answer:

Correct Answer: A

Solution:

$ 1+i^{2}+i^{3}-i^{6}+i^{8}=1-1-i+1+1=2-i $ .