JEE Main 2018MathematicsSets and RelationsEasyMCQ

JEE Main 2018 — Sets and Relations Question with Solution

JEE Main 2018 (15 Apr)

Question

Consider the following two binary relations on the set A=a, b, c : R1=c, a, b, b, a, c, c, c, b, c, a, a and R2=a, b, b, a, c, c, c, a, a, a, b, b, a, c, then :

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Correct answer
AR2 is symmetric but it is not transitive

Step-by-step explanation

Since, (b, c)∈R1 but (c, b)∉R1 

Hence, R1 is not symmetric.

In R1 : b, c∈R1 and c, a∈R1 but b, a∉R1

So, R1 is not transitive.

R2 is symmetric.

In R2 : b, a∈R2 and a, c∈R1 but b, c∉R2

So, R2 is not transitive.

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About this question

This is a previous-year question from JEE Main 2018, 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.