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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
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Application +4 | -1
If α\alpha is a complex number satisfying the equation α2+α+1=0{\alpha ^2} + \alpha + 1 = 0, then α31{\alpha ^{31}} is equal to
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Correct option: A
α\alpha
Option A (α\alpha) is correct because α31{\alpha ^{31}} simplifies to α\alpha when α\alpha is a complex number satisfying the given equation.

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