JEE Main 2018MathematicsBasic of MathematicsEasyMCQ

JEE Main 2018 — Basic of Mathematics Question with Solution

JEE Main 2018 (08 Apr)

Question

Let S=x∈R :x≥0 & 2x-3+x x-6+6=0 . Then S:

Choose an option

Show full solutionCorrect option: D
Correct answer
DContains exactly two elements

Step-by-step explanation

2x-3+xx-6+6=0

Let x=t>0

2t-3+tt-6+6=0

⇒2t-3=-t2-6t+6

⇒2t-3=-t2-6t+9+3


So the equation 2 solutions.

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About this question

This is a previous-year question from JEE Main 2018, covering the Basic of Mathematics 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.