1 votes 1 votes If $[ $$\frac{1+i}{1-i} ] ^ x$ =$1$ then (A) x = 2n + 1, where n is any positive integer (B) x = 2n, where n is any positive integer (C) x = 4n + 1, where n is any positive integer (D) x = 4n, where n is any positive integer Linear Algebra isro-ee engineering-mathematics linear-algebra + – sh!va asked Mar 10, 2017 edited Mar 7, 2019 by Naveen Kumar 3 sh!va 348 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes $\frac{(1+i)(1+i)}{(1-i)(1+i)} = \frac{-2i}{2} = -i$ Now we get [-i]x = 1, now for x=4n where n is positive integer we get [-i]x=1. So answer is option D. Rahul Jain25 answered Mar 10, 2017 edited Mar 10, 2017 by Rahul Jain25 Rahul Jain25 comment Share Follow See all 0 reply Please log in or register to add a comment.