Let x = m/n (m, n are co-prime natural numbers) be a solution of… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 2Inverse Trigonometric Functions

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:

A
$3x + 2y = 2$
B
$5x - 8y = -9$
C
$3x - 2y = -2$
D
$5x + 8y = 9$

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