Mathematics · 2023
JEE Main · 29 January 2023, Shift 1 · Q65
Consider the following system of equations α x+2 y+z=1; 2 α x+3 y+z=1; 3 x+α y+2 z=β for some α, β ∈ R. Then which of the following is NOT correct.
Consider the following system of equations
$$\begin{aligned}
& \alpha x+2 y+z=1 \\
& 2 \alpha x+3 y+z=1 \\
& 3 x+\alpha y+2 z=\beta
\end{aligned}
$$
for some $\displaystyle \alpha, \beta \in \mathbb{R}$. Then which of the following is NOT correct.
Official answer
From NTA’s final answer key for this paper.
(4)
It has no solution for $\displaystyle \alpha=-1$ and for all $\displaystyle \beta \in \mathbb{R}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.