JEE Main 2023MathematicsSets And RelationsSymmetric Transitive And Reflexive PropertiesmediumMCQ

JEE Main 2023 — Sets And Relations Question with Solution

From: JEE Main 2023 (Online) 1st February Morning Shift

Question

Let be a relation on , given by is an irrational number . Then is

Choose an option

Show full solutionCorrect option: D
Correct answer
Dreflexive but neither symmetric nor transitive

Step-by-step explanation

For reflexive :

is an irrational number is reflexive

For symmetric :

Let is an irrational number

is an irrational number

For example, Let

is irrational but is not.

is not symmetric

For transitive :

Let is irrational and is irrational.

is irrational.

For example, take

is not transitive.

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About this question

This is a previous-year question from JEE Main 2023, 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.