If α and β (α < β) are the roots of the equation (-2 + √3)|√x - 3… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 23 January, Shift 1Quadratic Equations in Complex Numbers

If $\alpha$ and $\beta$ ( $\alpha < \beta$ ) are the roots of the equation $(-2 + \sqrt{3})\left|\sqrt{x} - 3\right| + (x - 6\sqrt{x}) + (9 - 2\sqrt{3}) = 0$ , $x \ge 0$ , then $\sqrt{\frac{\beta}{\alpha}} + \sqrt{\alpha\beta}$ is equal to:

A
$8$
B
$11$
C
$9$
D
$10$

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