JEE Main 202430 Jan, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Consider the system of linear equations x+y+z=4μ,x+2y+2λz=10μ,x+3y+4λ2z=μ2+15x+y+z=4 \mu, x+2 y+2 \lambda z=10 \mu, x+3 y+4 \lambda^2 z=\mu^2+15x+y+z=4μ,x+2y+2λz=10μ,x+3y+4λ2z=μ2+15 where λ,μ∈R\lambda, \mu \in \mathbf{R}λ,μ∈R. Which one of the following statements is NOT correct ?AOption A. The system has unique solution if λ≠12\lambda \neq \frac{1}{2}λ=21 and μ≠1,15\mu \neq 1,15μ=1,15BOption B. The system has infinite number of solutions if λ=12\lambda=\frac{1}{2}λ=21 and μ=15\mu=15μ=15COption C. The system is consistent if λ≠12\lambda \neq \frac{1}{2}λ=21DOption D. The system is inconsistent if λ=12\lambda=\frac{1}{2}λ=21 and μ≠1\mu \neq 1μ=1CheckSkip · show solution
