Let ` alpha and beta ` be the roots of equation ` px^(2) + qx + r = 0 ,`
` p ne 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 :

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 :

If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!=0) then

If alphaand beta the roots of the equation px^2+qx+1=0, find alpha^2beta^2.

If alpha and beta are the roots of the equation px^(2) + qx + 1 = , find alpha^(2) beta + beta^(2)alpha .

If the roots of the equation px ^(2) +qx + r=0, where 2p , q, 2r are in G.P, are of the form alpha ^(2), 4 alpha-4. Then the value of 2p + 4q+7r is :

Let alpha and beta be the roots of the equation x^(2)+ax+1=0, a ne0 . Then the equation whose roots are -(alpha+(1)/(beta)) and -((1)/(alpha)+beta) is

Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0 . Then, for y ne 0 in R. [{:(y+1, alpha,beta), (alpha, y+beta, 1),(beta, 1, y+alpha):}] is

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

Let alpha, beta are two real roots of equation x ^(2) + px+ q =0, p ,q, in R, q ne 0. If the quadratic equation g (x) =0 has two roots alpha + (1)/(alpha) , beta + (1)/(beta) such that sum of its roots is equal to product of roots, then number of integral values g can attain is :