Mathematics · 2024
JEE Main · 30 January 2024, Shift 1 · Q3
Consider the system of linear equations x+y+z=4 μ, x+2 y+2 λ z=10 μ, x+3 y+4 λ^2 z=μ^2+15, where λ, μ ∈ R. Which one of the following statements is…
Consider the system of linear equations $\displaystyle x+y+z=4 \mu, x+2 y+2 \lambda z=10 \mu, x+3 y+4 \lambda^2 z=\mu^2+15$, where $\displaystyle \lambda, \mu \in \mathrm{R}$. Which one of the following statements is NOT correct ?
Official answer
From NTA’s final answer key for this paper.
(2)
The system is inconsistent if $\displaystyle \lambda=\frac{1}{2}$ and $\displaystyle \mu \neq 1$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.