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Matrices And Determinants

JEE Main 2023 (Online) 11th April Evening Shift

MCQ+4 / -12023

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 \(\alpha+\beta+2\) is equal to :

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