Mathematics · JEE

Relations, type of relations, equivalence relations Concepts for JEE

24+ syllabus-aligned questions available

Quick answer

Master Relations, type of relations, equivalence relations by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Relations, type of relations, equivalence relations before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Relations, type of relations, equivalence relations is a core JEE Main Mathematics subtopic under Sets, Relations and Functions. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Relations, type of relations, equivalence relations in the JEE syllabus
Memorise key formulas and standard results linked to Relations, type of relations, equivalence relations
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Relations, type of relations, equivalence relations with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Relations, type of relations, equivalence relations and reattempt after 48 hours

Common trap

Students often rush Relations, type of relations, equivalence relations questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Sets, Relations and Functions in JEE Main Mathematics.

Free sample questions

Attempt 8 free MCQs for Relations, type of relations, equivalence relations. Unlock 16+ more with Pro.

Unlock full bank

Q1MathsUnit 1: Sets, Relations and Functions

Which of the following is NOT equivalent to

\boldsymbol{p} \rightarrow \boldsymbol{q} ?

Q2MathsUnit 1: Sets, Relations and Functions

Assertion The relation

\boldsymbol{R}

given by

\boldsymbol{R}=\{(\mathbf{1}, \mathbf{3}),(\mathbf{4}, \mathbf{2}),(\mathbf{2}, \mathbf{4}),(\mathbf{2}, \mathbf{3}),(\mathbf{3}, \mathbf{1})\}

on a set

A=\{1,2,3,4\}

is not symmetric. Reason For symmetric relation

\boldsymbol{R}=\boldsymbol{R}^{-1}

Q3MathsUnit 1: Sets, Relations and Functions

Which of the following statements is the contrapositive of the statement, You win the game if you know the rules but are not overconfident.

Q4MathsUnit 1: Sets, Relations and Functions

x^{2}=x y

is a relation (defined on set

R

) which is

Q5MathsUnit 1: Sets, Relations and Functions

Consider the following two statements:

P:

If 7 is an odd number, then 7 is divisible by 2. Q: If 7 is a prime number, then 7 is an odd number If

V_{1}

is the truth value of the contrapositive of

\mathrm{P}

and

V_{2}

is the truth value of contrapositive of

Q,

then the ordered pair

\left(V_{1}, V_{2}\right)

equals:

Q6MathsUnit 1: Sets, Relations and Functions

Which of the following statements is the inverse of "Our pond floods whenever there is a thunderstorm."?

Q7MathsUnit 1: Sets, Relations and Functions

\mathrm{R}

is a relation in

\mathrm{A}

and

(\mathrm{a}, \mathrm{b}) \notin \mathrm{r},

implies (b, a)

\notin \mathrm{R}

then

\mathrm{R}

is said to be relation

Q8MathsUnit 1: Sets, Relations and Functions

Let

\rho

be a relation defined on

N,

the set of natural numbers, as

\boldsymbol{\rho}=\{(\boldsymbol{x}, \boldsymbol{y}) \in \boldsymbol{N} \times \boldsymbol{N}: \mathbf{2} \boldsymbol{x}+\boldsymbol{y}=\mathbf{4 1}\}

then

Want unlimited Relations, type of relations, equivalence relations practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

Frequently asked questions

What concepts in Relations, type of relations, equivalence relations are essential for JEE?

Focus on core ideas across Relations, type of relations, equivalence relations. JEE tests application, not just memorisation.