Let \alpha, \beta \in {\N} be roots of equation {\x}^2-70 {\x}+\lambda=0, where \frac{\lambda}{2}, \frac{\lambda}{3} \notin {\N}. If \lambda assumes the minimum possible value, then {(\sqrt{\alpha-1}+\sqrt{\beta-1})(\lambda+35)}/{|\alpha-\beta|} is equal to : [30-Jan-2024 Shift 1]

JEE Main 30-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 28 of 90

Marks: +1, -0

Let α,β∈N be roots of equation x2−70x+λ=0, where ‌

,‌

∉N. If λ assumes the minimum possible value, then ‌

(√α−1+√β−1)(λ+35)

|α−β|

is equal to :

[30-Jan-2024 Shift 1]

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