Verified Solution • 2025–26 Session moderate

QJEEM25Ma25a8: JEE Main 2025 Mathematics - Class 12 JEEM25Ma25a8 Solution: The system of equations x + y + z = 6 , x + 2 y + 5 z = 9 , x + …

The system of equations

x+y+z=6,x+2y+5z=9,x+5y+λz=μ,

has no solution if

Multiple Choice Options

  • A λ=17,μ=18\lambda=17, \mu=18
  • B λ=17,μ≠18\lambda=17, \mu \neq 18
  • C λ=15,μ≠17\lambda=15, \mu \neq 17
  • D λ≠17,μ≠18\lambda \neq 17, \mu \neq 18

Step-by-Step Verified Solution

D=|11112515λ|=0λ=17Dz=|11612915μ|≠0μ≠18

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