Find number of positive integral values of `alpha` for which roots of equation `6x^2-11x+alpha=0` are rational (a) 3 (b) 2 (c) 1 (d) 4

The number of all possible positive integral values of alpha for which the roots of the quadratic equation 6x^(2)-11x+alpha=0 are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5

Number of non-negative integral values of 'k' for which roots of the equation x^(2)+6x+k=0 are rational is-

Find the value of alpha for which roots of equations are equal 4x ^(2) - 20 x + alpha = 0

If [x] denotes the integral part of x and k=sin^-1 ((1+t^2)/(2t))gt0 then integral valueof alpha for which the equation (x-[k])(x+alpha)-1=0 has integral roots is (A) 1 (B) 2 (C) 4 (D) none of these

If -1,2,alpha are the roots of the equation 2x^(3)+x^(2)-7x-6=0, then alpha is

The number of integral values of alpha for which the quadratic expression alpha x^(2)+|2 alpha-3|x-6 is positive for exactly two integral values of x is equal to

If alpha and beta are the roots of the equation x^(2)-x+1=0, then alpha^(2009)+beta^(2009)=-1 (b) 1( c) 2(d)-2

If alpha and beta are the roots of equation 6x^(2)+x-2=0 , find the value of (alpha)/(beta)+(beta)/(alpha) :

If 1,1,alpha are the roots of x^(3)-6x^(3)+9x-4=0 then alpha=