JEE Main 2019MathematicsSets and RelationsMediumMCQ

JEE Main 2019 — Sets and Relations Question with Solution

JEE Main 2019 (12 Jan Shift 2)

Question

Let Z be the set of integers. If A=x∈Z : 2x+2x2-5x+6=1 and B={x∈Z  :- 3< 2x-1<9}, then the number of subsets of the set A×B, is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D215

Step-by-step explanation

Given 2x+2x-2x-3=1=20⇒x=-2, 2, 3.

∴nA=3

Again, -3<2x-1<9⇒-1<x<5

⇒x=0, 1, 2, 3, 4

∴nB=5

∴n A×B=3×5=15

∴Number of subset of A×B=215

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About this question

This is a previous-year question from JEE Main 2019, covering the Sets and Relations 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.