If the system of equations (\lambda-1) x+(\lambda-4) y+\lambda z=5 \lambda x+(\lambda-1) y+(\lambda-4) z=7 (\lambda+1) x+(\lambda+2) y-(\lambda+2) z=9 has infinitely many solutions, then \lambda^2+\lambda is equal to [23 Jan 2025 Shift 1]

JEE Main 23 Jan 2025 Shift 1 Paper

Section: Mathematics

Question : 9 of 75

Marks: +1, -0

If the system of equations
‌(λ−1)x+(λ−4)y+λz=5
‌λx+(λ−1)y+(λ−4)z=7
‌(λ+1)x+(λ+2)y−(λ+2)z=9
has infinitely many solutions, then λ2+λ is equal to

[23 Jan 2025 Shift 1]

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