If \\alpha and \\beta are the roots of x^{2}-2 x+4=0, then \\alpha^{n}-\\beta^{n}=

Correct Answer is : 2n+1isinnπ3

2^{n+1} i \cos \frac{n \\pi}{3}

2^{n-1} i \sin \frac{n \\pi}{3}

2^{n-1} i \cos \frac{n \\pi}{3}

2^{n+1} i \sin \frac{n \\pi}{3}

AP and TS EAMCET Engineering Model Paper 20

Question : 11 of 160

Marks: +1, -0

If α and β are the roots of x2−2x+4=0, then αn−βn=

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