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JEE Math Practice Question

The total number of matrices $$A = \left( {\begin{matrix} 0 & {2y} & 1 \\ {2x} & y & { - 1} \\ {2x} & { - y} & 1 \\ \end{matrix} } \right)$$ (x, y $$ \in $$ R,x $$ \ne $$ y) for which ATA = 3I3 is :-

  1. A.3
  2. B.4
  3. C.2
  4. D.6

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