Mathematics · 2024
JEE Main · 1 February 2024, Shift 1 · Q5
If the system of equations 2 x+3 y-z=5; x+α y+3 z=-4; 3 x-y+β z=7 has infinitely many solutions, then 13 α β is equal to ____.
If the system of equations
$$\begin{aligned}
& 2 x+3 y-z=5 \\
& x+\alpha y+3 z=-4 \\
& 3 x-y+\beta z=7
\end{aligned}
$$
has infinitely many solutions, then $\displaystyle 13 \alpha \beta$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 1120$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.