The number of all possible positive integral values of α for which the roots of the quadratic equation, 6x² - 11x + α = 0 are rational numbers is:

Complex Numbers and Quadratic Equations: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Jan, Evening shift · Q5093

JEE Main 20199 Jan, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

The number of all possible positive integral values of

\alpha

for which the roots of the quadratic equation, 6x²

-

11x +

\alpha

= 0 are rational numbers is :