\alpha, \beta are the roots of the equation x^2+2 x+4=0. If the point representing \alpha in the Argand diagram lies in the 2^{\text{nd }} quadrant and \alpha^{2024}-\beta^{2024}=i k,(i=\sqrt{-1}), then k= [TG EAPCET 11 May 2024 Shift 1]

Correct Answer is : −22024√3

Complex Numbers

Section: Mathematics

Question : 2 of 19

Marks: +1, -0

α,β are the roots of the equation x2+2x+4=0. If the point representing α in the Argand diagram lies in the 2‌nd ‌ quadrant and α2024−β2024=ik,(i=√−1), then k=

[TG EAPCET 11 May 2024 Shift 1]

‌−22025√3
‌22025√3
‌−22024√3
‌22024√3

Validate

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