Mathematics · 2024
JEE Main · 5 April 2024, Shift 2 · Q4
The values of m, n, for which the system of equations x+y+z=4; 2 x+5 y+5 z=17, x+2 y+m z=n has infinitely many solutions, satisfy the equation:
The values of $\displaystyle \mathrm{m}, \mathrm{n}$, for which the system of equations
$$\begin{aligned}
& x+y+z=4 \\
& 2 x+5 y+5 z=17, \\
& x+2 y+m z=n
\end{aligned}
$$
has infinitely many solutions, satisfy the equation :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \mathrm{m}^2+\mathrm{n}^2-\mathrm{mn}=39$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.