# JEE-Mains 2014 (4/30)

Algebra Level 3

Let $$\alpha$$ and $$\beta$$ be the roots of equation $$px^2+qx+r \ , \ p \neq 0$$. If $$p,q,r$$ are in arithmetic progression and $$\frac{1}{\alpha}+\frac{1}{\beta}=4$$, then the value of $$|\alpha-\beta|$$ is :

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