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# NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.1 Relations and Functions - PDF Download

NCERT solutions for class 12 maths chapter 1 exercise 1.1 Relations and Functions starts with the types of relations. Empty relations, universal relations, reflexive relations, symmetric relations, transitive relations, and equivalency relations are among the concepts covered in this exercise. Through the practice questions included in this exercise, students will gain a comprehensive understanding of these relations and their applications.

Class 12 maths chapter 1 exercise 1.1 NCERT solutions has a total of 16 questions that are based on type of relations. These questions are easy to attempt and can be solved by understanding the concepts properly. Ex 1.1 class 12 maths chapter 1 is prepared by subject experts of eSaral with conceptual knowledge of relations. By going through these topics and practicing questions from NCERT solutions, you can score higher marks in board exams. You can also download the free PDF of NCERT solutions class 12 maths chapter 1 ex 1.1 which are available in PDF format on eSaral website. Download the PDF of ex 1.1 class 12 maths ch 1 from the link given below.

## Topics Covered in Exercise 1.1 Class 12 Mathematics Questions

Ex 1.1 class 12 maths solutions comes with a topic of types of relations. This topic is elaborated in detail by the expert faculty of eSaral.

 1 Types of Relations
1. Types of Relations - A relation R that exists between A and A can also be expressed as a relation on A. In other words, a relation in a set A is a subset of A × A. Therefore, two extreme relations are A × A and the empty set φ.

Here are the definitions of different type of relation which are given below:

• Empty Relation - A relation R in a set A is called empty relation, if no element of A is related to any element of A, i.e., R = $\phi$ ⊂ A × A.

• Universal Relation - A relation R in a set A is called universal relation, if each element of A is related to every element of A, i.e., R = A × A.

Both the empty relation and the universal relation are sometimes called trivial relations.

•  Reflexive Relation - A relation R in a set A is called reflexive, if (a, a) ∈ R, for every a ∈ A.

• Symmetric Relation - A relation R in a set A is called symmetric, if (a1 , a2 ) ∈ R implies that (a2 , a1 ) ∈ R, for all a1 , a2 ∈ A.

• Transitive Relation - A relation R in a set A is called transitive, if (a1 , a2 ) ∈ R and (a2 , a3 ) ∈ R implies that (a1 , a3 )∈ R, for all a1 , a2 , a3 ∈ A.

• Equivalence Relation - A relation R in a set A is said to be an equivalence relation if R is reflexive, symmetric and transitive.

## Tips for Solving Exercise 1.1 Class 12 Chapter 1 Relations and Functions

The primary goal of ex 1.1 class 12 maths ch 1 Relations and Functions is to give the basic understanding of the types of relations. To understand this topic properly our academic team of mathematics have combined some useful tips and methods to solve ex 1.1 questions.

1. Understanding the different kinds of relations is essential to comprehending a number of real-life concepts. Students will easily understand all the fundamentals if they thoroughly practice all the problems of ex 1.1 class 12 maths chapter 1 NCERT solutions.

2. Comprehending the essential definitions, formulas, and examples while solvins questions of ex 1.1 class 12 maths is an effective method for gaining conceptual understanding of this topic.

3. You can score good marks if you study from NCERT solutions provided by eSaral for ex 1.1 class 12 maths. Gaining a conceptual and thorough knowledge of complicated topics is made easier by the graphical structure of the NCERT solutions for class 12 maths chapter 1 exercise 1.1.

## Importance of Solving Ex 1.1 Class 12 Maths Chapter 1 Relations and Functions

Ex 1.1 class 12 maths chapter 1 has a lot of advantages in solving  questions in exercise 1.1. Some of them are explained below.

1. You will be learning concepts like reflexive relations, transitive relations, symmetric relations, equivalency of a relation, etc. by going through the NCERT solutions for class 12 maths chapter 1 ex 1.1.

2. Every question of ex 1.1 is solved in step by step manner by subject experts of eSaral to help you prepare for board exams.

3. Students can also revise the concepts and questions provided in NCERT solutions class 12 maths chapter 1 just before the exams.

4. By practicing questions from NCERT solutions solved by experts of eSaral will improve your problem solving skills.

Question 1. What are the different types of relations mentioned in NCERT solutions class 12 maths chapter 1 ex 1.1?

Answer 1. You will learn various types of relations in chapter 1 ex 1.1 such as reflexive relations, transitive relations, symmetric relations, equivalence relations etc. All of these relations are explained precisely by experienced teachers of mathematics at eSaral.

Question 2. What is the equivalence relation in chapter 1 ex 1.1?

Answer 2. A relation R in a set A is said to be an equivalence relation if R is reflexive, symmetric and transitive.

Question 3. Define empty relation and universal relation?

Answer 3. A relation R in a set A is called empty relation, if no element of A is related to any element of A, i.e., R = $\phi$ ⊂ A × A.

A relation R in a set A is called universal relation, if each element of A is related to every element of A, i.e., R = A × A.