Mathematics · 2024
JEE Main · 9 April 2024, Shift 1 · Q3
Let λ, μ ∈ R. If the system of equations 3 x+5 y+λ z=3; 7 x+11 y-9 z=2; 97 x+155 y-189 z=μ has infinitely many solutions, then μ+2 λ is equal to:
Let $\displaystyle \lambda, \mu \in \mathbf{R}$. If the system of equations
$$\begin{aligned}
& 3 x+5 y+\lambda z=3 \\
& 7 x+11 y-9 z=2 \\
& 97 x+155 y-189 z=\mu
\end{aligned}
$$
has infinitely many solutions, then $\displaystyle \mu+2 \lambda$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 25$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.