If $\tan ^{-1} x + \tan ^{-1} y + \tan ^{-1} z = \frac{\pi}{2}$,where $x, y, z > 0$ and $xy < 1$,then the value of $xy + yz + zx$ is:
- A$xyz$
- B$0$
- C$1$
- D$-xyz$
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