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

  • [JEE MAIN 2024]
  • A

    $\frac{80}{9}$

  • B

    $9$

  • C

    $\frac{20}{3}$

  • D

    $8$

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