JEE Main 2026 — Quadratic Equation Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
Let and be the roots of the equation such that . Then the set of all possible values of is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Let . For , since the leading coefficient is positive, we need .
When with positive leading coefficient, the parabola is negative at , so 1 lies strictly between the two real roots. Discriminant is automatically positive.
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When with positive leading coefficient, the parabola is negative at , so 1 lies strictly between the two real roots. Discriminant is automatically positive.
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This is a previous-year question from JEE Main 2026, 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.