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JEE Math Practice Question

Let $\alpha$ and $\beta$ be the roots of the equation $p x^2+q x-r=0$, 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 :

  1. A.8
  2. B.9
  3. C.$\frac{20}{3}$
  4. D.$\frac{80}{9}$

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