NCERT (National Council of Education Research and Training) sets the academic curriculum and standards for the Class 12 CBSE board exams, and their textbooks are prescribed to CBSE students every year.
If understanding derivatives and inverse trigonometric functions has been a challenge so far, then you'll be glad to know that the NCERT Class 12 Maths NCERT Book Free PDF will have you covered. If you've ever wanted simple guides that break down tough to understand concepts step-by-step in a lucid manner, then the CBSE NCERT Maths Book Class 12 PDF download is just what you need. Students can access the NCERT Maths Book Class 12 Part 1 PDF download and the NCERT Maths Book Class 12 Part 2 PDF download by simply visiting Vedantu.com
NCERT Books for CBSE Class 12 Maths
Mathematics is a critical skill that inculcates logical reasoning and out-of-the-box analytical skills. Studying mathematics will enable you to get better at abstract reasoning and get better at other Science subjects like Physics and Chemistry too since its concepts branch out in different fields. By going through the CBSE NCERT 12th Class Maths Book PDF free download and working your way through every problem, you will be essentially setting yourself up for success in the Class 12 CBSE board exams, at least where Maths is concerned.
The PDF guides are written by our subject experts who have poured their years of expertise in explaining key concepts in a simplified manner after carefully analysing previous exam patterns and past CBSE question papers. If you ever thought Maths was hard, you'll find your perspective changing once you grasp the concepts distilled in these PDF guides. If you are also preparing for any competitive exams on the side, like the IIT-JEE or the NEET, these guides will come in handy for their preparation as well since the NCERT textbook materials are used in various engineering entrance exams and nationwide competitive tests.
Below mentioned chapter wise details of Class 12 NCERT Books:
Chapter 1 – Relations and Functions
This is the first chapter of the book and it discusses the theory of relations and functions. The theory is explained in a very simple way to help the students understand the chapter better. The topics covered in the chapter include an introduction to relations and functions, types of relations and functions, the composition of functions and invertible function, and binary operations. Each solution is explained in a step by step manner so that the students can understand the concepts. There are four exercises at the end of the chapter that has been solved for the students.
Chapter 2 – Inverse Trigonometric Functions
The 2nd chapter of the NCERT Books for Class 12 Maths discusses Inverse Trigonometric Functions. The topics which are covered in this chapter are an introduction to inverse trigonometric functions and basic concepts and properties of inverse trigonometric functions. There are two exercises at the end of the chapter that include detailed solutions to the questions of the NCERT Maths book that include both objective questions and short and long type questions too. Apart from these exercises, there are also notes and tips for the students to understand the chapter better and perform well in the exams.
Chapter 3 – Matrices
The third chapter of the book covers all aspects of Matrices. The topics covered in the chapter are Matrices and Their Types, Invertible Matrices, Operations on Matrices (Addition, Multiplication), Elementary Operation (Transformation) of a Matrix, Matrix and Transpose of Matrix, Symmetric, and Skew-Symmetric Matrices. There are also four solved exercises at the end of the chapter that are easy to understand and will help you understand the concept well. These questions are extremely helpful for students who are preparing for board examinations and other examinations like the NEET and JEE.
Chapter 4 – Determinants
This chapter is dedicated to the determinants of a Matrix. This chapter teaches students How to calculate determinants, the different properties of determinants, the adjoint and inverse of a matrix, the area of a triangle, the various applications of determinants and matrix, the minors and cofactors, and the determinants and matrices as equation solver. There are six solved questions at the end of the chapter to test the students’ knowledge on the subject and help them prepare better for the exams. These questions and solutions are also helpful for students preparing for other exams like JEE and engineering exams.
Chapter 5 – Continuity and Differentiability
The 5th chapter of the book is dedicated to the theories of continuity and differentiability. Some of the topics covered in this chapter are the Algebra of continuous functions, Derivatives of composite functions and implicit functions, Derivatives of inverse trigonometric functions, Derivatives of Functions in Parametric Forms, Exponential and Logarithmic Functions and their differentiation, Mean Value Theorem, and Second Order Derivative. The chapter also helps the students examine certain functions of continuity and generate conclusions. There are four exercises that will teach the students to find the points of discontinuity for a certain variable when it is defined by a function, etc.
Chapter 6 – Application of Derivatives
This chapter teaches students the application of derivatives. A few topics covered in this chapter are approximations, increasing and decreasing functions, maxima, and minima, the rate of change of quantities, tangents and normals, etc. Each chapter is well-explained in a step by step manner for the students to understand the concept well. There are about four exercises that students can practice to get a better grasp of the concept. Students can also refer to the explanations and other guidelines in the chapter while preparing for exams.
Chapter 7 – Integrals
The 7th chapter of the book discusses the theory of Integral calculus. This is an important chapter in mathematics and students need to pay careful attention. The topics covered in this chapter are inverse Process of Differentiation, Geometrical interpretation of indefinite integral, Indefinite integrals and their properties, the difference Between Differentiation and Integration, the Methods of Integration, the usage of trigonometric identities in Integration, the Formulas and Types of Integrals, the Integrals Techniques, the Properties of Definite Integrals, the Calculus Fundamental Theorems, the First and Second fundamental theorems of integral calculus, the evaluating Definite Integrals by Substitution, among many others.
Chapter 8 – Application of Integrals
After discussing all about integrals in the last chapter, the 8th chapter of the book discusses the applications of integrals in various cases. In this chapter, the students are taught several important concepts of application like how to find the area under simple curves, the area between two curves, and the area of the region bounded by a curve and a line. All these three concepts of applications are explained with simple diagrams and various examples so that the students can understand the concept of integrals and its various applications in a better way.
Chapter 9 – Differential Equation
This is an important chapter not only in Mathematics but is also used in solving many Physics derivations and is used in some of the chapters in the field of engineering too. Some of the topics covered in this chapter are the degree of a differential equation, the First-degree differential equations, the general and particular solutions of a differential equation, the Methods of Solving First Order, among the others. There are six exercises at the end of the chapter too that have been solved for the students to understand and grasp the subject in a better way.
Chapter 10 – Vector Algebra
The 10th chapter of the NCERT Books for Class 12 Maths covers a few important topics like applying vectors to figures, how to differentiate vectors and scalars, functions on vectors, among the many others. To have a clear and better understanding of the topics, there are also four solved exercises at the end of the chapter. All the exercises are designed according to the CBSE syllabus and follow the requisite guidelines. Students can practice the same to master the concepts as well as perform well in the board examination and other competitive exams.
Chapter 11 – Three Dimensional Geometry
After studying vector algebra in the previous chapter, students are introduced to the concept of 3D geometry in the 11th chapter of the book. Students are taught all about the concept of 3D geometry and various topics related to the subject are discussed in details for the students to understand. There are three solved exercises at the end of the chapter for the students to understand the chapter well. Each solution is designed following the guidelines of the CBSE, so students can rest assured that practicing these exercises will help them understand and master the concept well.
Chapter 12 – Linear Programming
After explaining to students how linear programming is mainly about the maximization and minimization of equations, the chapter moves on and talks about the various constraints, both mathematically as well as geometrically. The chapter also discusses the Different Types of Linear Programming Problems and the Linear Programming Problem and its Mathematical Formulation. There are also two exercises on the subject that help students gain a deep understanding of the different types of problems and questions with the brilliantly explained and detailed solutions to the questions.
Chapter 13 – Probability
The last chapter of the NCERT Books for Class 12 Maths deals with the subject of probability. A lot of topics are covered in this chapter that includes Conditional Probability, its properties, Multiplication Theorem on Probability, Theorem of Total Probability, Probability Distribution of a Random Variable, Baye’s Theorem, Bernoulli’s Trials and Binomial Distribution, Binomial distribution, Partition of a Sample Space, mean of a random variable, among the many other topics. There are five solved exercises at the end of the chapter to help the students understand every concept perfectly and do well in the exams.
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