Mathematics · 2021
JEE Main · 27 August 2021, Shift 1 · Q82
If the system of linear equations 2 x+y-z=3; x-y-z=α; 3 x+3 y+β z=3 has infinitely many solution, then α+β-α β is equal to \ \ \ \.
If the system of linear equations
$$\begin{gathered}
2 x+y-z=3 \\
x-y-z=\alpha \\
3 x+3 y+\beta z=3
\end{gathered}
$$
has infinitely many solution, then $\displaystyle \alpha+\beta-\alpha \beta$ is equal to \_\_\_\_.
Official answer
5
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.