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

Q1
PYQ

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)]

a

\(916\)

b

\(912\)

c

\(920\)

d

\(904\)

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