Mathematics · 2022
JEE Main · 24 June 2022, Shift 1 · Q6
The number of values of α for which the system of equations: x+y+z=α; α x+2 α y+3 z=-1; x+3 α y+5 z=4 is inconsistent, is
The number of values of $\displaystyle \alpha$ for which the system of equations :
$$\begin{aligned}
& x+y+z=\alpha \\
& \alpha x+2 \alpha y+3 z=-1 \\
& x+3 \alpha y+5 z=4
\end{aligned}
$$
is inconsistent, is
Official answer
(2)
$\displaystyle 1$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.