Let $x_1, x_2, \ldots, x_6$ be the roots of the polynomial equation $x^6+2 x^5+4 x^4+8 x^3+16 x^2+32 x+64=0$. Then,

  • [KVPY 2017]
  • A

    $\left|x_i\right|=2$ for exactly one value of $i$

  • B

    $\left|x_i\right|=2$ for exactly two values of $i$

  • C

    $\left|x_i\right|=2$ for all values of $i$

  • D

    $\left|x_i\right|=2$ for no value of $i$

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