Let α and β be the roots of the equation px² + qx - r = 0, where… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 1 February, Shift 2Nature of Roots & Formation of Equations

Let $\alpha$ and $\beta$ be the roots of the equation $px^2 + qx - r = 0$ , where $p \neq 0$ . If $p, q, r$ are consecutive terms of a non-constant G.P. and $\frac{1}{\alpha} + \frac{1}{\beta} = \frac{3}{4}$ , then the value of $\left((\alpha - \beta)^2\right)$ is:

A
$\frac{80}{9}$
B
$9$
C
$\frac{20}{3}$
D
$8$

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