If \\alpha , \\beta are roots of the equation x ^ { 2 } - 4 x + 8 = 0 then for any n \in N , \\alpha ^ { 2 n } + \\beta ^ { 2 n } =

Correct Answer is : 23n+1cosnπ2

2 ^ { 2 n + 1 } \cos { n \\pi } /{ 2 }

2 ^ { 3 n } \cos { n \\pi } /{ 2 }

2 ^ { 3 n+1 } \cos { n \\pi } /{ 2 }

2 ^ { 3 n+1 } \cos { n \\pi } /{ 4 }

AP and TS EAMCET Engineering Model Paper 12

Question : 62 of 160

Marks: +1, -0

If α,β are roots of the equation x2−4x+8=0 then for any n∈N,α2n+β2n=

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