Question Id : 13309 |
Context : JEE Main 2023 (1 February Morning Shift)
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 $\displaystyle \sum_{\lambda \in S}\big(|\lambda|^{2}+|\lambda|\big)$ is equal to:
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