JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

Let

\alpha

be a root of the equation

1+x^2+x^4=0

. Then the value of

\alpha^{1011}+\alpha^{2022}-\alpha^{3033}

is equal to

View answer and explanation

Correct option: A

1

Option A (1) is correct because after simplifying the expression

\alpha^{1011}+\alpha^{2022}-\alpha^{3033}

using the properties of roots of unity, the result is 1.

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