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Mathematics · 2023

JEE Main · 11 April 2023, Shift 2 · Q4

If the system of linear equations 7 x+11 y+α z=13; 5 x+4 y+7 z=β; 175 x+194 y+57 z=361 has infinitely many solutions, then α+β+2 is equal to:

If the system of linear equations $$\begin{aligned} & 7 x+11 y+\alpha z=13 \\ & 5 x+4 y+7 z=\beta \\ & 175 x+194 y+57 z=361 \end{aligned} $$ has infinitely many solutions, then $\displaystyle \alpha+\beta+2$ is equal to:
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.