jee-main 2019 Q61

jee-main · India · session1_09jan_shift2 Discriminant and conditions for roots Nature of roots given coefficient constraints
The number of all possible positive integral value of $\alpha$ for which the roots of the quadratic equation $6x^2 - 11x + \alpha = 0$ are rational numbers is:
(1) 5
(2) 3
(3) 4
(4) 2
The number of all possible positive integral value of $\alpha$ for which the roots of the quadratic equation $6x^2 - 11x + \alpha = 0$ are rational numbers is:\\
(1) 5\\
(2) 3\\
(3) 4\\
(4) 2