Mathematics · 2019
JEE Main · 9 January 2019, Shift 1 · Q65
The system of linear equations x+y+z=2; 2 x+3 y+2 z=5; 2 x+3 y+( a^2-1) z= a +1
The system of linear equations
$$\begin{aligned}
& x+y+z=2 \\
& 2 x+3 y+2 z=5 \\
& 2 x+3 y+\left(\mathrm{a}^2-1\right) z=\mathrm{a}+1
\end{aligned}
$$
Official answer
(1)
is inconsistent when $\displaystyle |\mathbf{a}|=\sqrt{3}$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.