JEE Main 2025MathematicsSets And RelationsSymmetric Transitive And Reflexive PropertieseasyMCQ

JEE Main 2025Sets And Relations Question with Solution

From: JEE Main 2025 (Online) 23rd January Evening Shift

Question

Let . Define a relation R on X as :

Statement I: is an equivalence relation.

Statement II : For some , the represents a line parallel to .

In the light of the above statements, choose the correct answer from the options given below :

Choose an option

Show full solutionCorrect option: B
Correct answer
BStatement I is true but Statement II is false

Step-by-step explanation

Statement - I :

Reflexive : True

True

Hence Relation is an equivence relation Statement-I is true.

For statement - II so False

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About this question

This is a previous-year question from JEE Main 2025, 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.