The remainder when the polynomial $1+x^2+x^4+x^6+\ldots+x^{22}$ is divided by $1+x+x^2+x^3+\ldots+x^{11}$ is

  • [KVPY 2016]
  • A

    $0$

  • B

    $2$

  • C

    $1+x^2+x^4+\ldots+x^{10}$

  • D

    $2\left(1+x^2+x^4+\ldots+x^{10}\right)$

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