The number of all possible positive integral values of a for which the roots of the quadratic equation, 6x 2 – 11x + a = 0 are rational numbers is:

Question:
The number of all possible positive integral values of $\alpha$ for which the roots of the quadratic equation, $6 x^{2}-11 x+\alpha=0$ are rational numbers is:

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.