Mathematics · 2022
JEE Main · 30 July 2022, Shift 2 · Q63
If the system of linear equations λ x+y-z=-1; x-y-3 z=2; -x+y+z=μ has infinitely many solutions, then the equation of the line passing through the…
If the system of linear equations
$$\begin{aligned}
& \lambda x+y-z=-1 \\
& x-y-3 z=2 \\
& -x+y+z=\mu
\end{aligned}
$$
has infinitely many solutions, then the equation of the line passing through the points $\displaystyle (\lambda+2 \mu, 2 \lambda+\mu)$ and $\displaystyle (1, \lambda \mu)$ is
Official answer
(3)
$\displaystyle 2 x-2 y=-1$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.