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Q.

If α is a root of x4 = 1, with negative principal argument, then principal argument of ω
where ω=111αnαn+1αn+31αn+11αn0 (where nN) IS

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a

5π/4

b

-3π/4

c

π/4

d

-π/4

answer is B.

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Detailed Solution

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Obviously α = -i where i2 = -1.
So, ω=1111i1i10 = -1 -i, arg(ω) = -3π/4

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