If the system of linear equations 2x+y−z=3... | Determinants | JEE Main

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JEE MAIN 2021

27-08-2021 S1

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If the system of linear equations $$ \begin{aligned} & 2 x+y-z=3 \\ & x-y-z=\alpha \\ & 3 x+3 y+\beta z=3 \end{aligned} $$ has infinitely many solution, then $\alpha+\beta-\alpha \beta$ is equal to

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