Skip to content
dronacharya.ai
← JEE Main 2022 · 25 Jul · Shift 1
MathematicsSingle correct+4 / -1Question 2 of 90

JEE Main 2022 · 25 Jul · Shift 1, Mathematics question 2

If α,β,γ,δ\alpha,\beta,\gamma,\delta are the roots of the equation x4+x3+x2+x+1=0x^4+x^3+x^2+x+1=0, then α2021+β2021+γ2021+δ2021\alpha^{2021}+\beta^{2021}+\gamma^{2021}+\delta^{2021} is equal to :

Choose one option
Answer and worked solution

Official answer: B

Fifth roots. The roots are the non-real fifth roots of unity, so α2021=α1\alpha^{2021}=\alpha^{1} and the sum is α+β+γ+δ=−1\alpha+\beta+\gamma+\delta=-1.

(B)

Topics:Roots of unity
← Previous questionNext question →