Let alpha and beta be the roots of equ...

Let `alpha and beta` be the roots of equation `px^(2)+qx+r=0" " pne0."If " p , q , r "are in A.P" and (1)/(alpha)+(1)/(beta)=4 , "then the value of " |alpha-beta|` is -

A

`sqrt(61)/(9)`

B

`2sqrt(17)/(9)`

C

`sqrt(34)/(9)`

D

`2sqrt(13)/(9)`

Verified by Experts

The correct Answer is:

D

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