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Quadratic Equation and Inequalities question

2024 · 30 Jan · Shift 1 · Q54

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2024 · 30 Jan · Shift 1 · Q54

Quadratic Equation and Inequalities question

2024 · 30 Jan · Shift 1 · Q54

JEE MainMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1

Let

\alpha, \beta \in \mathbf{N}

be roots of the equation

x^2-70 x+\lambda=0

, where

\frac{\lambda}{2}, \frac{\lambda}{3} otin \mathbf{N}

. If

\lambda

assumes the minimum possible value, then

\frac{(\sqrt{\alpha-1}+\sqrt{\beta-1})(\lambda+35)}{|\alpha-\beta|}

is equal to :

Numerical answer

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