JEE-Mains 2014 (4/30)

Algebra Level 3

Let α\alpha and β\beta be the roots of equation px2+qx+r , p0px^2+qx+r \ , \ p \neq 0. If p,q,rp,q,r are in arithmetic progression and 1α+1β=4\frac{1}{\alpha}+\frac{1}{\beta}=4, then the value of αβ|\alpha-\beta| is :

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