# 12-points-that-you-need-to-know-in- relations-and-functions-class-12- mathematics-2023-24

Updated: May 12

Here are Tips in Mathematics which will give you an exact idea of the topics that you should prepare for in Relations and Functions-Class 12 Maths NCERT. This is keeping in mind the changes prescribed by the NCERT board for the academic year 2023-24. To start with, you need to know that 2 chapters, namely , Relations and Functions and Inverse Trigonometric Functions comprise this topic.

What is a **Relation**

The 3 basic examples of a Relation namely, the Universal Relation, Empty Relation and Identity Relation.

Types of Relations:Reflexive, Symmetric and Transitive

Equivalence Relations and Equivalence Classes

**Functions**

Types of functions- Injective and Surjective

Bijective functions

In this context, you need to know a few important points such as:

**Number of bijective functions from a finite set A to a finite set B.**

Number of injective and surjective functions from a finite set A to a finite set B.

How to find the number of relations and functions from a set A to a set B.

Calculate the equivalence relations on a set containing 2 or 3 elements.

Resources for __Relations and Functions__

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Moving on to Inverse Trigonometric Functions, first and foremost, you will need to identify the **graphs of the 6 inverse trigonometric functions, inverse sin, inverse cos, inverse tan, inverse cot, inverse sec and inverse cosec and most important, identify their domain and range. **

Calculating the **principal values** is the next important point that you will need to learn. Once you get an idea of this, you will be able to solve any number of questions based on these. Questions can be twisted and turned in any way here but basically they all follow the same principle.

__Inverse trigonometric functions page__

The next very important point to learn is how to use the **Substitution method **to simplify an Inverse Trigonometric Function. Note that, this concept is used extensively in Calculus, so you need to understand and learn it well.

You will also need to know a few basic formulas such as composite of an inverse trigonometric function with its inverse.

Using these concepts, you have a variety of questions asked in the form of MCQ'S, Case study based questions, assertion and reasoning based questions and long answer questions, Basically once you get the basic points clear, you will be able to answer any question in whichever way it is framed.

So, these are the important topics in Relations and Functions-Class 12 Mathematics NCERT that you should learn.

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