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QJEEM19Ma23be: JEE Main 2019 Mathematics - Class 11 JEEM19Ma23be Solution: The number of all possible positive integral values of  …

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

Multiple Choice Options

  • A 3
  • B 2
  • C 4
  • D 5

Step-by-Step Verified Solution

For rational D must be perfect square

D = 121 −- 24 α\alpha

for 121 −- 24 α\alpha to be perfect square a must be 3, 4, 5

So, ans α\alpha = 3

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