Mathematics · 2022
JEE Main · 28 June 2022, Shift 1 · Q3
If the system of linear equations 2 x+3 y-z=-2; x+y+z=4; x-y+|λ| z=4 λ-4 where λ ∈ R, has no solution, then
If the system of linear equations
$$\begin{aligned}
& 2 x+3 y-z=-2 \\
& x+y+z=4 \\
& x-y+|\lambda| z=4 \lambda-4
\end{aligned}
$$
where $\displaystyle \lambda \in \mathbb{R}$, has no solution, then
Official answer
(2)
$\displaystyle \lambda=-7$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.