Let `alpha and beta` be the roots of equation `px^2+qx+r=0,p != 0.` If `p,q,r` are in A.P and `1/alpha+1/beta=4` then the value of `|alpha-beta|` is (a) `sqrt34/9` (b) `(2sqrt13)/9` (c) `sqrt16/9` (d) `(2sqrt17)/9`

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

Let alpha and beta be the roots of equation px^(2)+qx+r=0,p!=0. If p,q,r are in A.P and (1)/(alpha)+(1)/(beta)=4 then the value of | alpha-beta| is (a) (sqrt(34))/(9) (b) (2sqrt(13))/(9) (c) (sqrt(16))/(9) (d) (2sqrt(17))/(9)

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

Let a and b be the roots of equation p x^2+q x+r=""0, p!=0. . If p, q, r are in A.P. and 1/alpha+1/beta=4 , then the value of |alpha""-""beta| is (1) (sqrt(61))/9 (2) (2sqrt(17))/9 (3) (sqrt(34))/9 (4) (2sqrt(13))/9

If alpha and beta are the real roots of the equation x^(3)-px-4=0, p in R such that 2 alpha+beta=0 then the value of (2 alpha^(3)+beta^(3)) equals

Let alpha and beta are roots of the equation px^2+qx-r=0 where pne0 . If p, q, r are the consecutive term of non-constant G.P and 1/alpha+1/beta=3/4 , then value of (alpha-beta)^2 is:

If alpha and beta are are the real roots of the equation x^(3)-px-4=0,p in R such that 2alpha+beta=0 then the value of (2alpha^(3)+beta^(3)) equals

If alpha and beta be the roots of the equation x^(2) + px - 1//(2p^(2)) = 0 , where p in R . Then the minimum value of alpha^(4) + beta^(4) is