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JEE Math Practice Question

If the system of equations $$ \begin{aligned} & x+2 y-3 z=2 \\ & 2 x+\lambda y+5 z=5 \\ & 14 x+3 y+\mu z=33 \end{aligned} $$ has infinitely many solutions, then $\lambda+\mu$ is equal to :

  1. A.13
  2. B.10
  3. C.12
  4. D.11

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