In a quadratic function, the value of the product of the roots (α, β) is 4.…

GATE · 2016 · CS · Set 2 · General Aptitude

In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of

αn+βnα−n+β−n\dfrac{\alpha^{n}+\beta^{n}}{\alpha^{-n}+\beta^{-n}}

  1. A.

    n4n^4

  2. B.

    4n4^n

  3. C.

    22n−12^{2n-1}

  4. D.

    4n−14^{n-1}

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