Mathematics · 2024
JEE Main · 31 January 2024, Shift 1 · Q4
If the system of linear equations x-2 y+z=-4; 2 x+α y+3 z=5; 3 x-y+β z=3 has infinitely many solutions, then 12 α+13 β is equal to
If the system of linear equations
$$\begin{aligned}
& x-2 y+z=-4 \\
& 2 x+\alpha y+3 z=5 \\
& 3 x-y+\beta z=3
\end{aligned}
$$
has infinitely many solutions, then $\displaystyle 12 \alpha+13 \beta$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 58$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.