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JEE Math Practice Question

If the system of equations $$ \begin{aligned} & 2 x+\lambda y+3 z=5 \\ & 3 x+2 y-z=7 \\ & 4 x+5 y+\mu z=9 \end{aligned} $$ has infinitely many solutions, then $\left(\lambda^2+\mu^2\right)$ is equal to :

  1. A.30
  2. B.26
  3. C.22
  4. D.18

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