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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