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RS Aggarwal Class 11 Solutions Chapter-2 Relations

RS Aggarwal Solutions

RS Aggarwal Class 11 Solutions Chapter-2 Relations

RS Aggarwal Solutions for Class 11

You will learn the cartesian product of sets, as well as relations and functions in Class 11 Maths RS Aggarwal Chapter 2. In our daily lives, we are familiar with terms such as brother-sister relationships, husband-wife relationships, and teacher-student relationships. The term relation is used in Mathematics to describe the relationship between numbers, symbols, variables, sets, groups of sets, and so on. A is a subset of B; for example, it denotes the relationship between A and B. A function is a type of relationship that is used to produce output from two variables. We will provide you with relations and functions class 11 notes in this article so that you can learn and understand the concepts more easily.

Let’s look at the topics covered in RS Aggarwal Maths Class 11 Chapter 2 Solutions:

Relations Definition
Sets and Relations
Relations in Mathematics
Types of Relations:
Empty Relation
Universal Relation
Identity Relation
Inverse Relation
Reflexive Relation
Symmetric Relation
Transitive Relation
Equivalence Relation
Representation of Types of Relations

Tips to Get RS Aggarwal Solutions Class 11 Chapter 2

This RS Aggarwal Solutions Class 11 Chapter 2 free PDF available on the Vedantu platform provides an excellent solution to all problems of the Textbook. Following tips will help students to ace their exams when preparing for RS Aggarwal Solutions Of Relations.

Maintain a separate list of key concepts and formulae that you can review as often as possible.
Master the formulae's applications.
If you have any questions, ask your teacher as soon as possible. Don't wait until the last day to ask them.
Study basic principles from NCERT books and put them into practice using the examples and questions provided.
Pay special attention to topics that have a higher weightage of marks.
Long-answer questions should be practised.
Practice questions of Relations from previous year's papers, sample papers, and model papers.
We advise students to read the questions carefully before attempting them. As the questions from Functions contain a few tricky questions, so if the questions are not understood properly, we may end up with the wrong answer.

RS Aggarwal Class 11 Solutions Chapter-2 Relations will help you clear all your concepts and doubts regarding the chapter and the subject. This solution provided by RS Aggarwal is one of the study materials which is prepared after extensive analysis by Vedantu experts so that you get a clear and accurate solution to all the questions that are covered in the NCERT textbook. These also come in very handy during exam times for all your fast revision purposes. You can also access the Vedantu revision notes for Class 11 Maths that will provide you with a small summary of what is mentioned in Chapter 2: Relations.

Types of Relations in Mathematics

There are, in total, seven relations that are studied in Mathematics. These seven types of relations can be provided as follows:

1. Empty Relation:

If there is no element of the set which is related or mapped to any element V then the relation R will be termed as an empty relation.

2. Universal Relation:

This type of relationship is also called the full relation, where if a set of elements say b, is to be considered, every element that is present will be related to every other element present.

3. Identity Relation:

Here every element present in the set of elements will be related only to itself

4. Inverse Relation:

If there is a set of elements, then the inverse of the set will be its inverse relation

5. Reflexive Relation:

If every element in a set maps to itself, then it is called the reflexive relation

6. Symmetric Relation:

A set is said to have symmetric relation if the first element is related to the second element and the second element is also related to the first element.

7. Transitive Relations:

These are binary relations defined on a set such that if the first element is related to the second element, then the second element will be related to the third element, and the first element will also be related to the third element.

Conclusion

After studying through RS Aggarwal Class 11 Chapter 2 Solutions, students will be more confident when attempting any questions of Relations. The solutions are developed by talented experts to provide students with top-notch error-free solutions. Students can download a free copy of the PDF that is available on Vedantu's website. Our experts have prepared these solutions to cover various approaches to problem-solving. Students may develop an understanding of the various methods of problem-solving by referring to these solutions. Students benefit from studying these solutions because they make the learning process more efficient for them.

FAQs on RS Aggarwal Class 11 Solutions Chapter-2 Relations

1. What is the Difference Between a Function and a Relation?

A function is a relationship between quantities in which each input has one output. When there are multiple outputs for a given input, the quantities represent a relationship.

2. What are Relations in Math?

A relation is a mathematical term that describes the relationship between two sets of ordered pairs of values. Domain refers to the set of elements in the first set, which is associated with the range, which refers to the set of elements in the other set.

3. How RS Aggarwal Solutions Class 11 Chapter 2 is Useful for Students?

RS Aggarwal Solutions Class 11 Chapter 2 provides complete step-by-step solutions that help students to score excellent marks in Assessments and Examinations. All the questions are solved and explained by expert Mathematic teachers from Vedantu as per CBSE board guidelines.

4. According to RS Aggarwal Class 11 Solutions Chapter-2 Relations, what are the properties of transitive relations?

The properties of transitive relations can be provided as follows:

the inverse of a transitive relation will be called the transitive relation.
The union of two transitive relations may not necessarily be transitive in nature
The intersection of two transitive relations will always remain a transitive relation.
A transitive relation is said to be an asymmetric relation if and only if it is irreflexive in nature.
A relation that is defined on an empty set will also be transitive relation which has transitive properties
The complement of a transitive relation may not necessarily be a transitive set.

5. What are the important points that are mainly covered in the RS Aggarwal Class 11 Solutions Chapter-2 Relations?

The important points that are covered in the RS Aggarwal Class 11 Solutions Chapter-2 Relations can be provided as follows:

It provides an idea about the relations that exist in three types as Empty relation, universal relation, and trivial relation
If there are 2 sets such as A and B which are two non-empty finite sets that contain m and n elements respectively then the total number of relations from both A and B will be 2mn.
A relation R in a set named A is said to be an equivalence relation if R is transitive, symmetric and reflexive.
The two ways are explained in which the relationship can be represented, such as Roster Method and the Set builder method.

6. How to effectively utilise the RS Aggarwal Class 11 Solutions Chapter-2 Relations for a structured study plan?

You must have a plan readied before you start your study with the help of RS Aggarwal Class 11 Solutions Chapter-2 Relations. This will help you get a structured study plan. To do so, you will first need to brush through the concepts first if they were taught a while ago. Once you have brushed upon them, you will be needed to read through the solutions provided. Give yourself time to go through every question and solution mentioned in the RS Aggarwal Class 11 Solutions Chapter-2 Relations. In this way, you will be able to utilise the solutions effectively.

7. What are the methods through which the RS Aggarwal Class 11 Solutions Chapter-2 Relations helps in the understanding of the topic?

Various methods have been incorporated in the RS Aggarwal Class 11 Solutions Chapter 2 Relations that will help you with your understanding of the topic and can be provided as follows:

1. Easy Language:

The easy language included in the RS Aggarwal Class 11 Solutions Chapter-2 Relations via Vedantu provides a chance for the students to understand the topic on their own.

2. Stepwise Explanation:

Each step with a proper explanation as to why it is happening is also provided.

3. Questions Prepared Based on Competitive Exam Point of View:

You get to have questions that can be solved, which are prepared based on the competitive exam point of view.

All of these methods being incorporated in the RS Aggarwal Class 11 Solutions Chapter-2 Relations helps students understand the topic well.

8. Why is RS Aggarwal Class 11 Solutions Chapter-2 Relations an important and well-known solution overall?

RS Aggarwal focuses more on helping students understand the topic that is Chapter 2 Relations more than just providing just the solutions to the questions asked in the textbook. This makes it one of the most important and well-known solutions. Also, providing a summary of Chapter 2 in the book gives the students a chance to take a look at it right before the exam to remember the important points. Students can now also take a look at the Vedantu revision notes for Class 11 Maths that helps them understand the topics right before the exam begins.