Teaching UP TGT Mock Test Series 2025 Mathematics Determinants Evaluation of Determinants

If x2 + y2 + z2 = 1, then what is the value 

\(​\begin{vmatrix}1&z&-y\\\ -z&1&x\\\ y&-x&1\end{vmatrix}=?\)

1
0
2
1
3
2
4
2 - 2xyz
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