Let α, β be the roots of the quadratic equation 12x² - 20x + 3λ =… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 22 January, Shift 2Quadratic Equations in Complex Numbers

Let $\alpha, \beta$ be the roots of the quadratic equation $12x^2 - 20x + 3\lambda = 0,\ \lambda \in \mathbb{Z}.$ If $\frac{1}{2} \le |\beta-\alpha| \le \frac{3}{2},$ then the sum of all possible values of $\lambda$ is

A
$1$
B
$6$
C
$4$
D
$3$

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