If \(x\sin \theta = y\sin \left( {\theta + \frac{{2\pi }}{3}} \right) = z\sin \left( {\theta + \frac{{4\pi }}{3}} \right)\), Then xy + yz + zx is equal to

1
1
2
\(\frac{1}{2}\)
3
0
4
None of these

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