Let α and β be the broots of equati...
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Let α and β be the broots of equation px^2+qx+r=0, p≠0. If p, q, r are in A.P.

and 1/α+1/β=4, then the value of |α-β| is-  

(A) 2√ 13/9

(B) √ 61/9

(C) 2√ 17/9

(D) √ 34/9

JEE/Engineering Exams
Maths
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Let α and β be the broots of equation px^2+qx+r=0, p≠0. If p, q, r are in A.P.  and 1/α+1/β=4, then the value of |α-β| is-
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1α+1β=4  α+βαβ=4         -qα=4      also  ,2q =p+r q=-4α             -8α=  |2-β|=D|p|    p=-9α                                      =q2-4p                                16α2-4(-9α)α49α               =5249=2139 Ans. 

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