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JEE Math Practice Question

Let A = $$\left( {\begin{matrix} 0 & {2q} & r \\ p & q & { - r} \\ p & { - q} & r \\ \end{matrix} } \right).$$ If AAT = I3, then $$\left| p \right|$$ is :

  1. A.$${1 \over {\sqrt 2 }}$$
  2. B.$${1 \over {\sqrt 5 }}$$
  3. C.$${1 \over {\sqrt 6 }}$$
  4. D.$${1 \over {\sqrt 3 }}$$

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