JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002The system of equations x+y+z=6x + y + z = 6x+y+z=6, x+2y+5z=9x + 2y + 5z = 9x+2y+5z=9, x+5y+λz=μx + 5y + \lambda z = \mux+5y+λz=μ has no solution if:AOption A. λ=15,μ≠17\lambda = 15, \mu \neq 17λ=15,μ=17BOption B. λ≠17,μ≠18\lambda \neq 17, \mu \neq 18λ=17,μ=18COption C. λ=17,μ≠18\lambda = 17, \mu \neq 18λ=17,μ=18DOption D. λ=17,μ=18\lambda = 17, \mu = 18λ=17,μ=18CheckSkip · show solution