If $x > 0, y > 0, z > 0, xy + yz + zx < 1$ and if $\tan^{-1} x + \tan^{-1} y + \tan^{-1} z = \pi$,then $x + y + z$ equals to

  • A
    $0$
  • B
    $xyz$
  • C
    $3xyz$
  • D
    $\sqrt{xyz}$

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