JEE Main 2020MathematicsQuadratic EquationEasyMCQ

JEE Main 2020 — Quadratic Equation Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

Let S, be the set of all real roots of the equation, 3x3x-1+2=3x-1+3x-2, then

Choose an option

Show full solutionCorrect option: B
Correct answer
Bis a singleton.

Step-by-step explanation

Let 3x=t
tt-1+2=t-1+t-2
t2-t+2=t-1+t-2

Let, ft=t2-t+2 & gt=t-1+t-2

ft & gt has a solution at t=a.
3x=a ⇒x=log3⁡a.
So, it is a singleton set.

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About this question

This is a previous-year question from JEE Main 2020, 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.