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{aligne…

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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{aligne…

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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{aligne…