1.Consider the system of linear equationsx+y+z=4μ,x + y + z = 4\mu,x+y+z=4μ,x+2y+2λz=10μ,x + 2y + 2\lambda z = 10\mu,x+2y+2λz=10μ,x+3y+4λ2z=μ2+15,x + 3y + 4\lambda^2 z = \mu^2 + 15,x+3y+4λ2z=μ2+15,where λ,μ∈R\lambda, \mu \in \mathbb{R}λ,μ∈R. Which one of the following statements is NOT correct?a.The system has a unique solution if λ≠1/2\lambda \neq 1/2λ=1/2 and μ≠1,15\mu \neq 1, 15μ=1,15b.The system is inconsistent if λ=1/2\lambda = 1/2λ=1/2 and μ≠1\mu \neq 1μ=1c.The system has an infinite number of solutions if λ=1/2\lambda = 1/2λ=1/2 and μ=15\mu = 15μ=15d.The system is consistent if λ≠1/2\lambda \neq 1/2λ=1/2Login to continueOnly logged in users canattempt or see the solution.