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JEE Math Practice Question

If the system of equations $$\begin{array}{r} 11 x+y+\lambda z=-5 \\ 2 x+3 y+5 z=3 \\ 8 x-19 y-39 z=\mu \end{array}$$ has infinitely many solutions, then $$\lambda^4-\mu$$ is equal to :

  1. A.51
  2. B.45
  3. C.47
  4. D.49

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