JEE Main 2013MathematicsQuadratic EquationHardMCQ

JEE Main 2013 — Quadratic Equation Question with Solution

JEE Main 2013 (07 Apr)

Question

The real number k for which the equation, 2x3+3x+k=0 has two distinct real roots in [0, 1] belongs to

Choose an option

Show full solutionCorrect option: B
Correct answer
Bdoes not exist.

Step-by-step explanation

Given fx=2x3+3x+x

⇒f'x=6x2+3

As f'x>0  for all x.

⇒fx is a strictly increasing function for all x.

Hence fx=0 cannot have more than one root.

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About this question

This is a previous-year question from JEE Main 2013, 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.