Mathematics · 2024
JEE Main · 5 April 2024, Shift 1 · Q4
If the system of equations 11 x+y+λ z=-5; 2 x+3 y+5 z=3; 8 x-19 y-39 z=μ has infinitely many solutions, then λ^4-μ is equal to:
If the system of equations
$$\begin{array}{r}
11 x+y+\lambda z=-5 \\
2 x+3 y+5 z=3 \\
8 x-19 y-39 z=\mu
\end{array}
$$
has infinitely many solutions, then $\displaystyle \lambda^4-\mu$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 47$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.