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$Let α and β be the roots of the equation p x^{2} + q x + r = 0, p \neq 0 . If p, q, r are in$ $A.P., and \frac{1}{α} + \frac{1}{β} then the value of | α - β | is:$

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Correct option is D

Given p,q,r are in A.P 2q=p+r Also 1α+1β=4;α+βαβ=4−q/pr/p=4; q=−4r−8r=p+4; p=−9rpx2+qx+r=0−9rx2−4rx+r=09x2+4x−1=0|α−β|=(α+β)2−4αβ=1681+49=529=2139

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Let α and β be the roots of the equation px2+qx+r=0,p≠0. If p,q,r are in A.P., and 1α+1β then the value of |α−β| is:

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$Let α and β be the roots of the equation p x^{2} + q x + r = 0, p \neq 0 . If p, q, r are in$ $A.P., and \frac{1}{α} + \frac{1}{β} then the value of | α - β | is:$