Let x=m/n (m, n are co-prime natural numbers) be a solution of the equation cos (2 sin ⁻¹ x)=1/9 and let α, β(α >β) be the roots of the equation m x²-n x-m+ n=0. Then the point (α, β) lies on the line

Trigonometry: JEE Main 2024 Mathematics question

JEE Main 2024 · 29 Jan, Evening shift · Q4119

JEE Main 202429 Jan, Evening shiftMathematicsMediumTrigonometry118× since 2002

Let

x=\frac{m}{n}

(

m, n

are co-prime natural numbers) be a solution of the equation

\cos \left(2 \sin ^{-1} x\right)=\frac{1}{9}

and let

\alpha, \beta(\alpha >\beta)

be the roots of the equation

m x^2-n x-m+ n=0

. Then the point

(\alpha, \beta)

lies on the line

JEE Main 2024 Trigonometry Question with Solution (29 Jan Evening shift, Q4119) | JEE Arc