Home
Class 12
MATHS
The number of all possible positive inte...

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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

If alpha,beta are the roots of the quadratic equation 4x^(2)-4x+1=0 then alpha^(3)+beta^(3)=

The number of integral values of 'a' for which the quadratic equation x^(2)+(a+19)x+19a+1=0 has integral roots,are

If alpha,beta are the roots of the quadratic equation x^(2)+bx-c=0, the equation whose roots are b and c, is

If alpha and beta are the roots of the quadratic equation x^2+5x+6=0 what are the signs of the roots?

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha^2 + beta^2

if alpha,beta roots of quadratic equation 2x^(2)+3x-4=0 then find alpha+beta

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha/beta + beta/alpha

If alpha and beta are the roots of the quadratic equation x^(2) - 4x - 6 = 0 , find the values of alpha^(2) + beta^(2) .