The total number of matrices \( \mathrm{A}=\left(\begin{array}{ccc}...

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The total number of matrices \( \mathrm{A}=\left(\begin{array}{ccc}0 & 2 \mathrm{y} & 1 \\ 2 \mathrm{x} & \mathrm{y} & -1 \\ 2 \mathrm{x} & -\mathrm{y} & 1\end{array}\right),(\mathrm{x}, \mathrm{y} \in \)
P \( \mathrm{R}, \mathrm{x} \neq \mathrm{y} \) ) for which \( \mathrm{A}^{\mathrm{T}} \mathrm{A}=3 \mathrm{I}_{3} \) is :-
[JEE Main \( -2019 \) (April)]
(a) 6
(b) 2
(c) 3
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