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JEE Math Practice Question

If the system of linear equations $$ \begin{aligned} & 7 x+11 y+\alpha z=13 \\\\ & 5 x+4 y+7 z=\beta \\\\ & 175 x+194 y+57 z=361 \end{aligned} $$ has infinitely many solutions, then $$\alpha+\beta+2$$ is equal to :

  1. A.6
  2. B.4
  3. C.5
  4. D.3

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