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Mathematics · 2026

JEE Main · 21 January 2026, Shift 2 · Q6

If the system of equations 3 x+y+4 z=3; 2 x+α y-z=-3; x+2 y+z=4 has no solution, then the value of α is equal to:

If the system of equations $$\begin{aligned} & 3 x+y+4 z=3 \\ & 2 x+\alpha y-z=-3 \\ & x+2 y+z=4 \end{aligned} $$ has no solution, then the value of $\displaystyle \alpha$ is equal to :
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.