If the system of equations 2 x+y-z=5 2 x-5 y+\lambda z=\mu x+2 y-5 z=7 has infinitely many solutions, then (\lambda+\mu)^2+(\lambda-\mu)^2 is equal to [13-Apr-2023 shift 2]

JEE Mains 13-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 9 of 90

Marks: +1, -0

If the system of equations
‌2x+y−z=5
‌2x−5y+λz=µ
‌x+2y−5z=7
has infinitely many solutions, then (λ+µ)2+(λ−µ)2 is equal to

[13-Apr-2023 shift 2]

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