Mathematics · 2023
JEE Main · 6 April 2023, Shift 2 · Q5
For the system of equations x+y+z=6; x+2 y+α z=10; x+3 y+5 z=β, which one of the following is NOT true?
For the system of equations
$$\begin{aligned}
& x+y+z=6 \\
& x+2 y+\alpha z=10 \\
& x+3 y+5 z=\beta, \text { which one of the following is NOT true? }
\end{aligned}
$$
Official answer
From NTA’s final answer key for this paper.
(4)
System has a unique solution for $\displaystyle \alpha=3, \beta \neq 14$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.