Mathematics · 2020
JEE Main · 6 September 2020, Shift 1 · Q53
The values of λ and μ for which the system of linear equations x+y+z=2; x+2 y+3 z=5; x+3 y+λ z=μ has infinitely many solutions are, respectively:
The values of $\displaystyle \lambda$ and $\displaystyle \mu$ for which the system of linear equations
$$\begin{aligned}
& x+y+z=2 \\
& x+2 y+3 z=5 \\
& x+3 y+\lambda z=\mu
\end{aligned}
$$
has infinitely many solutions are, respectively :
Official answer
(1)
$\displaystyle 5$ and $\displaystyle 8$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.