Mathematics · 2025
JEE Main · 2 April 2025, Shift 2 · Q4
If the system of equations 2 x+λ y+3 z=5; 3 x+2 y-z=7; 4 x+5 y+μ z=9 has infinitely many solutions, then (λ^2+μ^2) is equal to:
If the system of equations
$$\begin{aligned}
& 2 x+\lambda y+3 z=5 \\
& 3 x+2 y-z=7 \\
& 4 x+5 y+\mu z=9
\end{aligned}
$$
has infinitely many solutions, then $\displaystyle \left(\lambda^2+\mu^2\right)$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 26$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.