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# Exploring the world of Relations and Functions in Class 12

Updated: Nov 5

## Tips and Tricks to study Relations and Functions for Class 12

Learn how to prepare Relations, Functions and Inverse Trigonometric Functions for Class 12 Mathematics NCERT, ISC and CUET . These are the first 2 chapters of Class 12 Mathematics and they form the foundation for Calculus.

This blog gives you all the concepts that you need to know to get that above 90 percent in your exams. To start with, you learn the basic concept of a Relation. This also covers all the topics that I teach in my online classes which also includes in depth problem solving.

## Types of Relations

There are 3 standard Relations which you will need to know, namely, the Identity Relation, Empty Relation and Universal Relation. Questions on these could be asked in Multiple choices.

The next thing which you will need to learn is about the 3 types of Relations, namely, Reflexive, Symmetric and Transitive Relations and Equivalence Relations. You will also need to learn about Equivalence classes.

Reflexive, Symmetric and Transitive Relations Explained!

MCQ on Relations-Equivalence Relation

MCQ-Relations-Find the largest number of Equivalence relations

MCQ -Equivalence Relations

MCQ-Equivalence Relation

## What is a function and why is it a Relation?

You will then proceed to learn about Functions and how Functions are derived from Relations. It is important to master this concept since logical questions can be asked on this topic. The 4 different types of functions, one to one, onto, many to one and into need to be learnt.

MCQ Questions in Relations and Functions-Guarantee your Success

You need to emphasize and learn more about injective and surjective functions which in turn will lead to to bijective functions . Bijective functions will lead you to the study of finding the inverse of a function. In this context you will also learn about composite Functions.

MCQ Question on number of Surjective Functions from a finite set A to a finite set B

### What is the Domain and Range of a function?

Understanding the domain and range of a function goes a long way in helping you to understand Calculus.

How to understand Domain and Range of a function

I will be covering all the above mentioned topics in depth in my online classes. So that's all about Relations and functions. The next chapter that you will need to learn is Inverse Trigonometric Functions. Since you know that the inverse of a function exists only if it is bijective, you need to check if the inverse Trigonometric Functions are bijective.

MCQ Question of Functions-Finding the inverse of a function

## Online tutoring if you need more help!

You can contact me for online tutoring if you want any extra help. All my students have done well in Mathematics and enjoyed the learning in the process. You can choose between one to one tutoring or group tutoring

To make math education universally accessible and affordable, I am conducting an online coaching class. for this topic. The entire course topic of Relations and Functions and Inverse Trigonometric Functions and would take about 10 sessions to complete. To start the session, there has to be a minimum of ten participants.

If you are interested, you can message me on mathews.suman@gmail.com for payment details and other relevant information.

Motivating you to learn Mathematics and like it ! Share the word around to any class 12 Math student who needs that little bit of help.