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JEE Math Practice Question

The system of equations $$\begin{aligned} & x+y+z=6, \\ & x+2 y+5 z=9, \\ & x+5 y+\lambda z=\mu, \end{aligned}$$ has no solution if

  1. A.$\lambda=17, \mu=18$
  2. B.$\lambda=17, \mu \neq 18$
  3. C.$\lambda=15, \mu \neq 17$
  4. D.$\lambda \neq 17, \mu \neq 18$

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