The value of [tex](1+i)^{2n}+(1-i)^{2n}\:\&\:(n\:\in\:N)[/tex] is zero if-
(a) n is odd
(b) n is multiple of 4
(c) n is even
(d) [tex]\frac{n}{2}[/tex] is odd
Share
The value of [tex](1+i)^{2n}+(1-i)^{2n}\:\&\:(n\:\in\:N)[/tex] is zero if-
(a) n is odd
(b) n is multiple of 4
(c) n is even
(d) [tex]\frac{n}{2}[/tex] is odd
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Step-by-step explanation:
Complex numbers:-
Given an equation,in which we have to find the nature of n.
Taking square of terms in bracket,we get an expression.
(2i)^n+(-2i)^n=0
Since,i^n can't be 0
Hence,we find 2^n+(-2)^n=0, satisfying only for odd values of n(1,3,5,...)
So, option A is correct.
Answer:
happy
Step-by-step explanation:
mark as a brainlist answer.