JEE Main 2024 (30 January Evening Shift)

Question

Consider the system of linear equations $x+y+z=5,\quad x+2y+\lambda^2 z=9,\quad x+3y+\lambda z=\mu,$ where $\lambda,\mu\in\mathbb{R}$. Which of the following statements is NOT correct?

Accepted Answer

System has unique solution if $\lambda
e1$ and $\mu
e13$

Answer

System is consistent if $\lambda
e1$ and $\mu=13$

Answer

System is inconsistent if $\lambda=1$ and $\mu
e13$

Answer

System has infinite number of solutions if $\lambda=1$ and $\mu=13$

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