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Mathematics · 2024

JEE Main · 6 April 2024, Shift 2 · Q22

If the system of equations 2 x+7 y+λ z=3; 3 x+2 y+5 z=4; x+μ y+32 z=-1 has infinitely many solutions, then (λ-μ) is equal to ____:

If the system of equations $$\begin{aligned} & 2 x+7 y+\lambda z=3 \\ & 3 x+2 y+5 z=4 \\ & x+\mu y+32 z=-1 \end{aligned} $$ has infinitely many solutions, then $\displaystyle (\lambda-\mu)$ is equal to $\displaystyle \_\_\_\_$:
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.