JEE Main 2019MathematicsQuadratic EquationEasyMCQ

JEE Main 2019 — Quadratic Equation Question with Solution

JEE Main 2019 (09 Jan Shift 2)

Question

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

Choose an option

Show full solutionCorrect option: B
Correct answer
B3

Step-by-step explanation

For ax2+bx+c=0, we have D=b2-4ac 

D=121-24α
For rational roots, D must be perfect square.
∴α=3, 4, 5
∴ Number of values of α=3

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About this question

This is a previous-year question from JEE Main 2019, covering the Quadratic Equation chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.