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If omega(ne 1) be a cube root of unity a...

If `omega(ne 1)` be a cube root of unity and `(1+omega^(2))^(n)=(1+omega^(4))^(n)`, then the positive value of n, is

A

2

B

3

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
Given `(1+ omega^2)^n =(1+ omega^2)^n`
`rArr (- omega)^n = (- omega^2)^n " " [ :. omega^3 = 1 and 1+ omega + omega^2=0]`
`rArr omega^n =1`
`rArr n=3 ` is the least positive value of n.
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