MCQMediumJEE Main 2025 · 23 January, Shift 2Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2025 · 23 January, Shift 2

The system of equations x+y+z=6,x + y + z = 6, x+2y+5z=9,x + 2y + 5z = 9, x+5y+λz=μ,x + 5y + \lambda z = \mu, has no solution if:

  • A

    λ=17,μ18\lambda = 17, \mu \neq 18

  • B

    λ17,μ18\lambda \neq 17, \mu \neq 18

  • C

    λ=15,μ17\lambda = 15, \mu \neq 17

  • D

    λ=17,μ=18\lambda = 17, \mu = 18

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