Question
Mathematics Question on Maxima and Minima
If ω(≠1) is a cube root of unity and (1+ω2)n=(1+ω4)n, then the leastpositive value of n is
A
(A) 2
B
(B) 3
C
(C) 5
D
(D) 6
Answer
(B) 3
Explanation
Solution
Explanation:
We have, (1+ω2)n=(1+ω4)n⇒(−ω)n=(−ω2)n⇒ωn=1⇒n=3 is least positive value of n