Mathematics · 2023
JEE Main · 31 January 2023, Shift 1 · Q65
For the system of linear equations x+y+z=6; α x+β y+7 z=3; x+2 y+3 z=14, which of the following is NOT true?
For the system of linear equations
$$\begin{aligned}
& x+y+z=6 \\
& \alpha x+\beta y+7 z=3 \\
& x+2 y+3 z=14,
\end{aligned}
$$
which of the following is NOT true ?
Official answer
From NTA’s final answer key for this paper.
(2)
For every point $\displaystyle (\alpha, \beta) \neq(7,7)$ on the line $\displaystyle x-2 y+7=0$, the system has infinitely many solutions
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.