If α,β are the roots of the equation x^2-2x+4=0 and for any n ∊ N, \alpha^n+\beta^n=k\cos\frac{n\pi}{3}\then k=

AP EAMCET Engineering 24 Apr 2017 Shift 1 Paper

Section: Mathematics

Question : 10 of 160

Marks: +1, -0

If α,β are the roots of the equation x2−2x+4=0 and for any n ∊ N, αn+βn=k‌cos‌

nπ

‌then‌k=

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