Let $\alpha$ and $\beta$ be the roots of $x^2-6 x-2=0$, with $\alpha>\beta$. If $a_n=\alpha^n-\beta^n$ for $n \geq 1$, then the value of $\frac{a_{10}-2 a_8}{2 a_9}$ is

  • [IIT 2011]
  • A

    $1$

  • B

    $2$

  • C

    $3$

  • D

    $4$

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