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JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

The value of , and is a nonreal fourth root of unity, is

Answer: (B)

Solution

, so :

α^{4n-1}+α^{4n-2}+α^{4n-3}=α^3+α^2+α=Missing argument for \frac\frac{α(1-α^3)}{

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Question ID VK-108125