Let {\S} denote the set of all real values of \lambda such that the system of equations \lambda x+y+z=1 x+\lambda y+z=1 x+y+\lambda z=1 is inconsistent, then \sum_{\lambda \in S} (|\lambda|^2 + |\lambda|) is equal to [1-Feb-2023 Shift 1]

JEE Mains 1-Feb-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 70 of 90

Marks: +1, -0

Let S denote the set of all real values of λ such that the system of equations
‌λx+y+z=1
‌x+λy+z=1
‌x+y+λz=1
is inconsistent, then

∑

λ∈S

(|λ|2+|λ|) is equal to

[1-Feb-2023 Shift 1]

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