Consider the system of linear equation {\x}+ {\y}+ {\z}= 4 \mu, x+2 y+2 \lambda z=10 \mu, x+3 y+4 \lambda^2 z=\mu^2+15 where \lambda, \mu \in {\R}. Which one of the following statements is NOT correct? [30-Jan-2024 Shift 1]

Correct Answer is : The system is inconsistent if λ=12 and µ≠1

The system has unique solution if \lambda \neq \frac{1}{2} and \mu \neq 1,15

The system is inconsistent if \lambda=\frac{1}{2} and \mu \neq 1

The system has infinite number of solutions if \lambda=\frac{1}{2} and \mu=15

The system is consistent if \lambda \neq \frac{1}{2}

JEE Main 30-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 13 of 90

Marks: +1, -0

Consider the system of linear equation x+y+z= 4µ,x+2y+2λz=10µ,x+3y+4λ2z=µ2+15 where λ,µ∈R. Which one of the following statements is NOT correct?

[30-Jan-2024 Shift 1]

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