Teaching HTET TGT Level 2 - 2024 Mock Test Quantitative Aptitude Algebra Polynomials

If x + y + z = 0 and xyz = -1/2 then what is the value of \(\frac{1}{x^2 \ + \ y^2 \ - \ z^2} + \frac{1}{y^2\ +\ z^2\ -\ x^2}+\frac{1}{z^2\ +\ x^2\ -\ y^2}\)

1
\(\frac{1}{x^2 \ + y^2 \ + z^2}\)
2
1
3
-1
4
0
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