NVAMediumJEE Main 2024 · 30 January, Shift 1Nature of Roots & Formation of Equations

Mathematics Question from JEE Main 2024 · 30 January, Shift 1

Let α,βN\alpha, \beta \in \mathbb{N} be roots of the equation x270x+λ=0x^2 - 70x + \lambda = 0, where λ/2,λ/3N\lambda/2, \lambda/3 \notin \mathbb{N}. If λ\lambda assumes the minimum possible value, then (α1+β1)(λ+35)αβ\frac{\left(\sqrt{\alpha-1}+\sqrt{\beta-1}\right)(\lambda+35)}{|\alpha-\beta|} is equal to:

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