If the system of equations $$ \begin{aligned} & 2 x+y-z=5 \ & 2 x-5 y+\lambda z=\mu \ & x+2 y-5 z=7 \end{aligned} $$ has infinitely many solutions, then $(\lambda+\mu)^2+(\lambda-\mu)^2$ is equal to [JEE Main 2023, 13 Apr (Shift 2)]

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If the system of equations \[ \begin{aligned} & 2 x+y-z=5 \\ & 2 x-5 y+\lambda z=\mu \\ & x+2 y-5 z=7 \end{a…

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If the system of equations \[ \begin{aligned} &amp; 2 x+y-z=5 \\ &amp; 2 x-5 y+\lambda z=\mu \\ &amp; x+2 y-5 z=7 \end{a…

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If the system of equations \[ \begin{aligned} & 2 x+y-z=5 \\ & 2 x-5 y+\lambda z=\mu \\ & x+2 y-5 z=7 \end{a…