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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