NCERT Class 12 Maths Book PDF

NCERT Class 12th Maths Textbook PDF include a detailed explanation of each chapter of the syllabus. It comprises an exercise-wise solution and covers each topic and subtopic. Solutions like this aid students to get a deeper understanding of every concept and improve their problem-solving capabilities. Download the maths class 12 NCERT PDF for better understanding.

Class 12 maths NCERT Book with solutions have 13 chapters in total, including important topics like Relations and Functions, Matrices, Vector Algebra, Applications of Derivatives, etc. Moreover, in case you are preparing for other competitive exams such as JEE, NEET, etc. these books can fulfil your purpose.

CBSE Class 12 Maths Unit-Wise Weightage 

We have provided information on the distribution of class 12th Maths book unit marks in a tabular style below. It will assist pupils in resolving a variety of issues. The Mathematics Syllabus changes from time to time, thus, students must stay up to date on all changes. For each chapter, the marks are not divided equally. We've concentrated on Class 12 Maths Unit-by-Unit Marks Distribution so that students can grasp every aspect and succeed in their preparations for the CBSE Board Exam 2024-25.

Chapter-Wise Details of NCERT Maths Class 12 PDF Free Download

Chapter 1: Relations and Functions

The first chapter of this PDF discusses theories related to relations and functions. They are explained in a very easy to understand manner for you to comprehend. Additionally, this chapter includes an introduction, types of relations and functions, composition of functions, invertible functions, domain, co-domain, and binary operations.

This chapter provides in-depth knowledge on the topic, and it is essential for every exam. Moreover, in this PDF, every sub-topic is explained in detail for your better understanding of the related concepts. Additionally, there are four exercises at the end of this chapter, and students can also find the solutions attached to them. You can quickly perform NCERT class 12th maths book part 1 PDF download via the above mentioned links.

Chapter 2: Inverse Trigonometric Functions

The next chapter of this NCERT class 12th maths textbook PDF contains an introduction to the topic and concepts and properties of inverse trigonometric functions. Moreover, there are two exercises at the end of this chapter with solutions. Hence, it is easier for you to understand the concepts. These two exercises discuss the ranges of various trigonometric functions and notice their behaviour via graphical representation.

Moreover, expert mathematicians prepare these books, and the simple structure of such books makes it easier for you to grasp the topic. You can easily download the maths class 12 NCERT PDF by clicking on the links.

Chapter 3: Matrices

This third chapter of the NCERT class 12th maths textbook PDF comprises every part of matrices. It includes –

• Introduction

• Definition

• Types of matrices

• Equality of matrices

• Operations, which include addition and multiplication by scalar

• Properties of matrices during addition and multiplication

• Transpose and its properties

• Symmetric and elementary operations or transformation of matrices

• Skew symmetric matrices

• The inverse of matrices and its elementary operations

• Miscellaneous examples

Apart from an easily understandable explanation of these sub-topics, there are four exercises as well. The solutions are also provided to help you to get a better grip on this concept.

Chapter 4: Determinants

The next chapter of this NCERT 12th maths book covers every topic and subtopics of determinants of Matrix. With the help of this PDF, you can quickly learn the definition and meaning of determinants. It also contains Introduction to chapter, explanation of Determinant, properties, finding the area of a triangle, minors and cofactors, adjoin and the inverse of Matrix, applications, etc.

Additionally, there are six exercises included in this chapter, as well. These exercises aid you to grasp the concepts associated with Matrix and its determinants. Furthermore, there are some miscellaneous examples followed by a summary.

Chapter 5: Continuity and Differentiability

This chapter of NCERT Class 12 maths book PDF has eight exercises with solutions for easy understanding of the concept. It contains an introduction followed by a discussion about continuity with various examples and exercises. After that, there is a similar explanation of differentiability. This explanation of differentiability has multiple sub-topics with illustrations.

After that, other topics under this chapter are exponential and logarithmic functions, derivatives of functions in Parametric Forms, Mean value theorem, and different examples. There is a summary section to provide you with a concise outlook of the entire chapter. Hence, download the class 12 maths NCERT PDF for better preparation.

Chapter 6: Application of Derivatives

This chapter of class 12th maths book explains in great detail the various applications of derivatives. It starts with a traditional introduction, which offers an insight into the components of the chapter. After that, it proceeds further to explain the following topics-

• Rate of change of quantities

• Increasing and decreasing functions

• Tangents and normal

• Approximations

• Maxima and Minima

Each topic in this chapter has numerous examples and explanations of the associated theorems followed by an exercise. Moreover, such well-structured chapters will help you to grasp the concept quickly and without much hassle.

Chapter 7: Integrals

Integral is one of the most critical chapters of class 12 mathematics. It deals with the problem of defining and measuring the area of a specific region, which is restricted by the graphs of functions.

These topics include integration, its methods, functions of specific integrals, definite integrals and its evaluation by substitutions, etc. Similar to the previous chapters; this one also has various examples and exercises for a better understanding of integrals. You can quickly download the Class 12 Maths NCERT book part 2 PDF.

Chapter 8: Applications of Integrals

This chapter shed light on its applications and the mathematics side of it. Furthermore, in this chapter, you will learn about the following topics –

• The area under simple curves, it has a sub-topic of finding the region bounded by a line and a curve.

• The area between two curves.

Additionally, there are several examples and calculations to help you understand the chapter better. There is also a dedicated exercise after each topic, which you can solve to gain a better grasp of the subject.

Moreover, there are miscellaneous examples followed by a summary and historical note section. You can download this NCERT 12th maths book PDF, to clear your doubt regarding the applications of integrals.

Chapter 9: Differential Equation

Differential equations have applications beyond the scope of mathematics. It is also applicable in Physics, Chemistry, Biology, Economics, etc. Therefore, it is an essential chapter for students of class 12. This chapter begins with the basic concept differential equation and then moves further into general and particular solutions of this equation.

After that, it explains how to form these equations where the general solutions are given. Furthermore, you learn methods of solving first order, first-degree differential equations. There are various miscellaneous examples after these topics, which will help you to clear your doubts. Additionally, the exercises and illustrations in this Class 12 maths NCERT Book PDF can assist in gaining a better understanding of the concept.

Chapter 10: Vector Algebra

In this chapter of class 12 maths book PDF, you will study about the Vectors and problems associated with it. Vectors typically denote quantities like displacement, force, velocity, weight, momentum, etc. Here, you will study the definition, basic concepts, operations and other topics associated with the vectors.

Furthermore, here is a list of topics that you will learn in this chapter–

• Basic concepts of vector

• Types of vectors

• Addition of vectors

• Multiplication of vectors by a scalar

• Product of two vectors

Additionally, there are diagrams, examples and exercises with solutions to help you comprehend this topic better. Besides, every practice set has detailed solutions with diagrams for a better explanation.

Chapter 11: Three-Dimensional Geometry

Following the chapter of vector algebra, you will now learn how to use it into three-dimensional geometry. In this chapter, you will learn the basic concepts of 3D geometry, which includes the following–

• Direction cosines and Direction Ratios of a line

• Equation of a line in space

• The angle between two lines

• The shortest distance between two lines

• Plane surface

• Coplanarity of two lines

• The angle between two planes

• The distance of a point from a plane

• The angle between a line and a plane

Additionally, these topics are followed by different examples and summary sections to conclude the chapter. Three-dimensional geometry is a vital chapter, and you can quickly learn this concept with the help of NCERT class 12th maths book PDF.

Chapter 12: Linear Programming

Optimisation problems are a crucial section of mathematics, and one of its popular subtypes is linear programming. You have already studied the concept of linear programming and its everyday applications. Moreover, in class 11, you have previously studied the same with the help of graphical representations.

Additionally, in this chapter, you will learn about linear programming via graphical representations. There is only one topic included in this chapter, i.e. Linear Programming Problems and Its Mathematical Formulation. Under this section, there are various examples and exercises for you to solve. Moreover, this chapter of math NCERT class 12 concludes with a miscellaneous section.

Chapter 13: Probability

In the previous classes, you have already studied probability as a way of measuring uncertainty of outcomes during various experiments. Hence, we have discussed the axiomatic approach coined by the Russian Mathematician, A.N. Kolmogorov. Moreover, we have treated probability as an outcome of experiments. Additionally, you have also studied the equivalence between classical theory and axiomatic theory, in case of similar outcomes.

Furthermore, in this chapter, you will learn the concept of conditional probability, Bayes theorem, multiplication rule, and independent events. Additionally, the idea of a random variable, the probability distribution is also discussed here. In the penultimate section of this chapter, you will study Binomial distribution. Similar to the previous chapters, there are ample examples and exercises included in this chapter of NCERT Class 12th maths Book PDF.

Maths Exam Pattern and Marking Scheme for Class 12 CBSE 2024-25

Maths Question Paper Designing for Class 12:

Conclusion

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Other Free CBSE Class 12 Maths Study Material

Other Free Study CBSE Material for Class 12