Let λ ∈ R and let the equation E be |x|^2 - 2|x| + |λ - 3| = 0. Then the largest element in the set S = \x + λ : x is an integer solution of E\ is

Let λ ∈ R and let the equation E be |x|^2 - 2|x| + |λ - 3|… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.) · numerical answer

Let

\lambda \in \mathbb{R}

and let the equation E be

|x|^2 - 2|x| + |\lambda - 3| = 0

. Then the largest element in the set

S = \{x + \lambda : x \text{ is an integer solution of E}\}

Show answer

Answer: 5

[JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.)]

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