Practice Questions on Relations in Mathematics

Q1. Check wether the relation R = {(a, b), (b, c), (c, a), (a, a)} is Equivalence relation on set A = {a, b, c}

Q2. Check wether the relation R = {(1, 1), (1, 3), (1, 1), (2, 2)} is Equivalence relation on set A = {1, 2, 3}

Q3. Find the inverse of the relation R = {(1, 1), (2, 4), (3, 9)}

Q4. Find the inverse of the relation R = {(2, 6), (3, 7), (5, 9)}

Relations in Mathematics

Relation in mathematics is defined as the well-defined relationship between two sets. The relation connects the value of the first set with the value of the second set. We represent relation in mathematics using the ordered pair. If we are given two sets Set X and Set Y then the relation between them is represented using the ordered pair (x, y) such that, x ϵ X and y ϵ Y.

Relations are used in mathematics, statistics, and data sciences. It is an integral part of RDBMS (Relational Database Management Systems) used to search, store, and sort large data.

In this article, we will learn about, Relation in Mathematics, Example of Relation, Types of Relation, and others in detail.

Table of Content

  • What is Relations?
    • Relations Definition
  • Relations Examples
  • Representation of Relations
    • Set Builder Notation
    • Roaster Form
  • Sets and Relations
  • Types of Relation
  • Graphing Relations
  • Relations Class 12
    • Resources on Relations Class 12
  • Examples on Relations
  • Practice Questions on Relations in Mathematics

Similar Reads

What is Relations?

Relation in Mathematics is defined as the relationship between two sets. If we are given two sets set A and set B and set A has a relation with set B then each value of set A is related to a value of set B through some unique relation. Here, set A is called the domain of the relation, and set B is called the range of the relation....

Relations Examples

Examples of relation in mathematics include,...

Representation of Relations

In mathematics or in set theory we can represent the relation using different techniques and the two important ways to represent the set are,...

Sets and Relations

Sets are the values that are arranged collectively. And relations are relationship that connects the values of two sets. So sets and relations are connected to each other. For example, if we are given two sets...

Types of Relation

Various types of relations defined in mathematics are,...

Graphing Relations

Relations can be easily represents on the graphs and representing them on graphs is an easy way of explaining them. The ordered pair in a relation represents a coordinate that can be plot on cartesian coordinate system. We can easily graph the relation by following the steps added below,...

Relations Class 12

Relations and Functions are fundamental concepts in mathematics, especially for higher-level courses like Calculus and Linear Algebra. In Class 12, you’ll delve deeper into these concepts to understand how objects relate to each other and how functions map elements from one set to another....

Examples on Relations

Example 1: Find the inverse relation of R = {(1, 3), (2, 4), (3, 5)}...

Practice Questions on Relations in Mathematics

Q1. Check wether the relation R = {(a, b), (b, c), (c, a), (a, a)} is Equivalence relation on set A = {a, b, c}...

Relations in Mathematics – FAQs

What is Relations in Math?...