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If you're looking for an accessible yet comprehensive resource for Class 12 Maths, the NCERT Book for Class 12 Maths should be your go-to study companion. This book is specially prepared for CBSE students preparing for board exams and competitive tests such as JEE, NEET, and CUET. From relations and functions to matrices, integrals to differentiation, vector algebra to probability, the NCERT book for class 12 Maths covers these important topics to make learning a rewarding experience for students.
Every chapter of this book transforms a complex concept into a stepping stone for every student's success. This book focuses not only on teaching mathematical formulas and concepts but also on emphasising their practical applications and real-world value to students. The NCERT book for class 12 Maths is available in English and Hindi. To support students in their journey towards excellence, Careers360 provides free downloadable PDFs of NCERT books for an uninterrupted learning experience.
The NCERT class 12 Maths textbook is broad and classified into various chapters. The list of chapters, along with the most important topics covered under the section, is given below for the reference of the candidates.
Chapter | Important Topics Covered |
---|---|
Chapter 1: Relations and Functions | Types of relations: reflexive, symmetric, transitive and equivalence relations. One-one and onto functions, composite functions, inverse of a function. |
Chapter 2: Inverse Trigonometric Functions | Definition, domain, range, principal value branch, and properties of inverse trigonometric functions. |
Chapter 3: Matrices | Concept, types, operations (addition, multiplication), transpose, symmetric and skew symmetric matrices, and elementary row/column transformations. |
Chapter 4: Determinants | Determinants of a square matrix up to order 3, properties of determinants, minors and cofactors, applications in finding area of triangle and solving linear equations using inverse and Cramer's Rule. |
Chapter 5: Continuity and Differentiability | Continuity and differentiability, chain rule, derivatives of implicit and composite functions, exponential and logarithmic functions, second-order derivatives. |
Chapter 6: Applications of Derivatives | Rate of change of quantities, increasing and decreasing functions, tangents and normals, maxima and minima, approximation. |
Chapter 7: Integrals | Integration as an inverse process of differentiation, integration by substitution, by parts, partial fractions, definite integrals and properties. |
Chapter 8: Applications of Integrals | Area under curves, area bounded by standard curves like lines, parabolas and circles. |
Chapter 9: Differential Equations | Order and degree, general and particular solutions, formation and solution of differential equations using variable separable method. |
Chapter 10: Vector Algebra | Vectors and their types, addition of vectors, scalar and vector product, projection of a vector. |
Chapter 11: Three-Dimensional Geometry | Direction cosines and ratios, equations of lines and planes, angle between lines and planes, shortest distance. |
Chapter 12: Linear Programming | Introduction to linear programming, formulation of LPPs, graphical method of solution, feasible and infeasible regions. |
Chapter 13: Probability | Conditional probability, independent events, Bayes’ theorem, random variables and distribution, mean and variance of a random variable. |
The links to the various NCERT 12th class books are given below. The candidates are strongly advised to download the books and go through them to gain a better understanding of the exam structure.
Title | Download Link |
NCERT 12th Maths Book PDF (Part 1) | |
NCERT 12th Maths Book PDF (Part 2) |
Chapters | English Medium |
---|---|
Chapter 1 | Relations and Functions |
Chapter 2 | Inverse Trigonometric Functions |
Chapter 3 | Matrices |
Chapter 4 | Determinants |
Chapter 5 | Differentiability |
Chapter 6 | Application of Derivatives |
Chapter 7 | Integrals |
Chapter 8 | Application of Integrals |
Chapter 9 | Differential Equations |
Chapter 10 | Vector Algebra |
Chapter 11 | Three-dimensional Geometry |
Chapter 12 | Linear Programming |
Chapter 13 | Probability |
Candidates who want to access the free PDF of NCERT Maths books 2025-26 for Class 12 can visit the official website of NCERT to download the free NCERT book PDF files. Follow the steps below to download the same:
Visit the official website - ncert.nic.in.
Select the desired subject and Class.
A PDF file will open on your computer screen.
Now, download the NCERT Class 12 Maths book PDF for free on your device.
The chapter-wise solutions for the various chapters of the NCERT class 12 Maths textbook, from relations and functions to probability, are given below. The students should go through the article during their preparation and in case of any doubts, immediately refer to the article for clearing the doubts.
As NCERT Maths Books are designed by experts after detailed research, these books provide in-depth accurate knowledge to the students. Every topic in these books follows simple basic language for the better understanding of the students. The numerous solved examples and exercise problems help to strengthen the analytical and problem-solving skills of the students. NCERT Maths Book Class 12 acts as a fundamental to clear the board exams as well as the competitive exams.
Along with the Class 12 Maths NCERT book, it is important to focus on other subject NCERT books as well. Below are the direct links to download other subject books:
Apart from the NCERT class 12 Maths books, Careers360 has also designed various other preparation resources for the student’s overall Mathematics preparation for various board exams. The list of ebooks is given below.
Title | Download Link |
NCERT Syllabus for Class 12 Maths | |
Class 12th Maths NCERT solutions | |
NCERT Exemplar Class 12 Maths PDF Solutions | |
NCERT Notes for Class 12 Maths |
Here are the chapters that are covered in the NCERT book for class 12 Maths.
Relations and Functions
Inverse Trigonometric Functions
Matrices
Determinants
Continuity and Differentiability
Application of Derivatives
Integrals
Application of Integrals
Differential Equations
Vector Algebra
Three-Dimensional Geometry
Probability
Linear Programming
Chapter 1: Relations and Functions | 2 exercises + Miscellaneous exercise |
Chapter 2: Inverse Trigonometric Functions | 2 exercises + Miscellaneous exercise |
Chapter 3: Matrices | 4 exercises + Miscellaneous exercise |
Chapter 4: Determinants | 5 exercises + Miscellaneous exercise |
Chapter 5: Continuity and Differentiability | 7 exercises + Miscellaneous exercise |
Chapter 6: Applications of Derivatives | 3 exercises + Miscellaneous exercise |
Chapter 7: Integrals | 10 exercises + Miscellaneous exercise |
Chapter 8: Applications of Integrals | 1 exercise + Miscellaneous exercise |
Chapter 9: Differential Equations | 5 exercises + Miscellaneous exercise |
Chapter 10: Vector Algebra | 4 exercises + Miscellaneous exercise |
Chapter 11: Three-Dimensional Geometry | 3 exercises + Miscellaneous exercise |
Chapter 12: Linear Programming | 1 exercise + Miscellaneous exercise |
Chapter 13: Probability | 3 exercises + Miscellaneous exercise |
You can download the NCERT class 12 Maths textbook in PDF format from the official NCERT website. Students can also use the links given in this article. Careers360 also provides detailed solutions to the exercises in the textbook prepared by teachers having years of experience.
Yes, the NCERT Class 12 Maths book covers the full CBSE syllabus and is sufficient for the board exam. However, students can use the NCERT Exemplar and the previous years' questions for extra practice purposes.
Chapters | Marks |
Relations & Functions | 08 |
Algebra | 10 |
Calculus | 35 |
Vector & 3-Dimensional Geometry | 14 |
Linear Programming | 05 |
Probability | 08 |
Total | 80 |
The remaining 20 numbers are allotted for internal assessment, such as project work, practicals, etc.
Admit Card Date:06 May,2025 - 20 May,2025
Admit Card Date:06 May,2025 - 20 May,2025
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