# NCERT Books for Class 12 Maths Part 1 in PDF Format: Download and Access Anytime, Anywhere

## Class 12 Maths Part 1 PDF Download: A Complete Guide

Are you looking for a reliable source to download Class 12 Maths Part 1 PDF for free? Do you want to know what topics are covered in Class 12 Maths Part 1 and how to prepare for them effectively? If yes, then you have come to the right place. In this article, we will provide you with all the information you need to download and study Class 12 Maths Part 1 PDF. We will also give you some tips and tricks to ace the exam and score high marks. So, read on and get ready to master Class 12 Maths Part 1.

## class 12 maths part 1 pdf download

## Introduction

Mathematics is one of the most important subjects for Class 12 students, especially for those who aspire to pursue engineering, statistics, or other related fields. Mathematics helps to develop logical thinking, problem-solving, and analytical skills that are essential for higher studies and career. Therefore, it is crucial to have a strong foundation in Mathematics and clear all the concepts thoroughly.

Class 12 Maths is divided into two parts: Part 1 and Part 2. Part 1 consists of six chapters that deal with topics such as relations, functions, matrices, determinants, calculus, and its applications. These topics are not only important for the board exam but also for various competitive exams such as JEE Main, JEE Advanced, NEET, etc. Hence, it is advisable to study Class 12 Maths Part 1 with utmost dedication and sincerity.

### What is Class 12 Maths Part 1?

Class 12 Maths Part 1 is a textbook published by the National Council of Educational Research and Training (NCERT) for the students of CBSE board. It is based on the latest syllabus prescribed by the CBSE board for the academic year 2022-23. It covers all the topics that are included in Unit I (Relations and Functions), Unit II (Algebra), and Unit III (Calculus) of the CBSE syllabus.

Class 12 Maths Part 1 is written in a simple and lucid language that makes it easy for the students to understand the concepts and apply them in solving problems. It also provides ample examples, solved exercises, unsolved exercises, previous year questions, and miscellaneous questions for practice and revision. It also contains summary points, formulas, tips, and tricks at the end of each chapter for quick reference.

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### Why is Class 12 Maths Part 1 Important?

Class 12 Maths Part 1 is important for several reasons. Some of them are:

It helps to build a strong foundation in Mathematics and prepare for higher studies and career.

It helps to develop logical thinking, problem-solving, and analytical skills that are essential for various fields.

It helps to score good marks in the board exam as well as in various competitive exams such as JEE Main, JEE Advanced, NEET, etc.

It helps to enhance interest and curiosity in Mathematics and appreciate its beauty and applications.

### How to Download Class 12 Maths Part 1 PDF?

If you want to download Class 12 Maths Part 1 PDF for free, you can follow these simple steps:

Visit the official website of NCERT at .

Click on the tab "Textbooks" and select "PDF (I-XII)" from the drop-down menu.

Select "Class XII" from the list of classes and "Mathematics Part-I" from the list of subjects.

Click on the link "Download Complete Book" and save the PDF file on your device.

You can also download individual chapters by clicking on the respective links.

You can also download Class 12 Maths Part 1 PDF from other websites such as , etc. However, make sure that the PDF files are authentic and updated as per the latest syllabus.

## Chapter-wise Overview of Class 12 Maths Part 1

Now that you have downloaded Class 12 Maths Part 1 PDF, let us take a look at the chapter-wise overview of the book. Here, we will briefly describe the main topics, subtopics, and formulas covered in each chapter. We will also provide a table that shows the weightage of each chapter in the board exam as per the latest CBSE marking scheme.

### Chapter 1: Relations and Functions

This chapter deals with the concepts of relations and functions, types of relations, types of functions, composition of functions, inverse of a function, binary operations, etc. It also introduces the concept of inverse trigonometric functions and their properties. Some of the important formulas in this chapter are:

If f and g are two functions, then (f g)(x) = f(g(x)) and (g f)(x) = g(f(x)).

If f is a one-one and onto function, then f(f(x)) = x and f(f(x)) = x.

If A and B are two sets, then a binary operation * on A B is a function that maps A B to A or B.

If y = sin(x), then x = sin y and -π/2 y π/2.

If y = cos(x), then x = cos y and 0 y π.

If y = tan(x), then x = tan y and -π/2 < y < π/2.

The weightage of this chapter in the board exam is 8 marks.

### Chapter 2: Inverse Trigonometric Functions

This chapter deals with the concepts of inverse trigonometric functions, their domains and ranges, their graphs, their principal values, their properties, and their applications. It also covers some important results such as:

sin(x) + cos(x) = π/2 for all x [-1, 1].

tan(x) + cot(x) = π/2 for all x R.

sec(x) + cosec(x) = π/2 for all x (-, -1] [1, ).

sin(x) + sin(y) = sin(x(1 - y) + y(1 - x)) if x, y [-1, 1] and xy 0.

cos(x) + cos(y) = cos(xy - (1 - x)(1 - y)) if x, y [-1 , 1] and xy 0.

tan(x) + tan(y) = tan((x + y)/(1 - xy)) if x, y R and xy < 1.

The weightage of this chapter in the board exam is 8 marks.

### Chapter 3: Matrices

This chapter deals with the concepts of matrices, types of matrices, operations on matrices, transpose of a matrix, symmetric and skew-symmetric matrices, elementary operations, inverse of a matrix, adjoint of a matrix, etc. It also covers some important results such as:

If A and B are two matrices of the same order, then (A + B) = A + B and (AB) = BA.

If A is a square matrix, then (A) = A and (A) = (A).

If A is a symmetric matrix, then A = A and if A is a skew-symmetric matrix, then A = -A.

If A is an invertible matrix, then A 0 and A = adj(A)/A.

If A and B are two invertible matrices of the same order, then (AB) = BA.

The weightage of this chapter in the board exam is 10 marks.

### Chapter 4: Determinants

This chapter deals with the concepts of determinants, properties of determinants, minors and cofactors, expansion of determinants, applications of determinants in finding area of a triangle, equation of a line, equation of a plane, etc. It also covers some important results such as:

If A is a square matrix, then A = A.

If A and B are two square matrices of the same order, then AB = AB.

If A is a triangular matrix, then A is the product of the diagonal elements of A.

If A is an invertible matrix, then A = 1/A.

If A is a square matrix and k is a scalar, then kA = kA where n is the order of A.

The area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is given by (x1, y1, 1), (x2, y2, 1), (x3, y3, 1)/2.

The equation of a line passing through two points (x1, y1) and (x2, y2 ) is given by (x, y, 1), (x1, y1, 1), (x2, y2, 1) = 0.<