state gov OPSC ASO Mock Test Series 2025 Quantitative Aptitude Algebra Identities

If xyz = 1 then the value of \(\rm \frac{1}{1+x+y^{-1}}\) + \(\rm \frac{1}{1+y+z^{-1}}\) + \(\rm \frac{1}{1+z+x^{-1}}\) is

1
1
2
0
3
2
4
\(\frac{1}{2}\)
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