Let x=\frac{m}{n}(m, n are co-prime natural numbers) be a solution of the equation \cos (2 \sin ^{-1} x) =\frac{1}{9} and let \alpha, \beta(\alpha>\beta) be the roots of the equation {\mx}^2- {\nx}- {\m}+ {\n}=0. Then the point (\alpha, \beta) lies on the line [29-Jan-2024 Shift 2]

JEE Main 29-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 15 of 90

Marks: +1, -0

Let x=‌

(m,n are co-prime natural numbers) be a solution of the equation cos(2sin‌−1x)=‌

and let α,β(α>β) be the roots of the equation mx2−nx− m+n=0. Then the point (α,β) lies on the line

[29-Jan-2024 Shift 2]

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