For $\alpha, \beta \in R$, suppose the system of linear equations $$ \begin{aligned} & x-y+z=5 \ & 2 x+2 y+\alpha z=8 \ & 3 x-y+4 z=\beta \end{aligned} $$ has infinitely many solutions. Then $\alpha$ and $\beta$ are the roots of

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For \(\alpha, \beta \in R\), suppose the system of linear equations \[ \begin{aligned} & x-y+z=5 \\ & 2 x+2 y+\a…

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For \(\alpha, \beta \in R\), suppose the system of linear equations \[ \begin{aligned} &amp; x-y+z=5 \\ &amp; 2 x+2 y+\a…

Practice more JEE Maths PYQs

For \(\alpha, \beta \in R\), suppose the system of linear equations \[ \begin{aligned} & x-y+z=5 \\ & 2 x+2 y+\a…