Q.

If ω(≠1) is a complex cube root of unity and 1+ω4n=1+ω8n then the least positive integral value of n is

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a

2

b

3

c

6

d

12

answer is B.

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Detailed Solution

As ω4=ω,ω8=ω2 we get (1+ω)n=1+ω2n⇒ −ω2n=(−ω)n⇒ ωn=1∴ n=3
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