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JEE Math Practice Question

If the system of equations $$2 x+y-z=5$$ $$2 x-5 y+\lambda z=\mu$$ $$x+2 y-5 z=7$$ has infinitely many solutions, then $$(\lambda+\mu)^{2}+(\lambda-\mu)^{2}$$ is equal to

  1. A.916
  2. B.912
  3. C.920
  4. D.904

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