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JEE Math Practice Question

If the system of equations $$ \begin{aligned} & 2 x+3 y-z=5 \\\\ & x+\alpha y+3 z=-4 \\\\ & 3 x-y+\beta z=7 \end{aligned} $$ has infinitely many solutions, then $13 \alpha \beta$ is equal to :

  1. A.1110
  2. B.1120
  3. C.1210
  4. D.1220

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