NCERT Books for Class 12 Maths
NCERT has developed the revised syllabi and assembled Textbook Development Teams for Class XII to create mathematics textbooks in accordance with the updated guidelines and curriculum. It's important to note that all the questions in the 2024 Board Exams will be sourced exclusively from the NCERT Class 12 Mathematics (Part I and II) Book provided below. Additionally, the novel question format, which includes Case-based Multiple Choice Questions (MCQs), is grounded in the principles and concepts outlined in this NCERT Mathematics (Part I and II) PDF.
This book comprehensively addresses all the significant topics and principles specified in the NCERT Curriculum and the CBSE Class 12 Mathematics Syllabus. In recent years, not only CBSE-affiliated schools but also institutions following various state boards have adopted NCERT textbooks for the academic year study of Class 12.
Free Download Available of Maths PDF
NCERT, short for the National Council of Education Research and Training, plays a pivotal role in formulating the curriculum for students in the 12th grade. It is responsible for crafting the educational framework that aligns with the CBSE board. If you find it challenging to navigate through this curriculum, you have the option to utilize the textbooks published by NCERT. The NCERT Class 12 Mathematics PDF, available for free download, contains comprehensive information essential for tackling various subject topics.
This PDF resource serves as a valuable tool to dissect and comprehend each chapter, making it less daunting. Therefore, if you've encountered difficulties with mathematics in the past, these PDFs can be instrumental in enhancing your understanding. You can readily access the NCERT Class 12 Mathematics PDF for free download to facilitate your learning journey.
NCERT Books for Class 12 Maths Free PDF Download
The NCERT textbook designed for Class 12 Mathematics offers lucid explanations, solved illustrations, and exercises that foster a deeper grasp of concepts and improve problem-solving abilities. You have the option to access the NCERT Class 12 Mathematics book in both English and Hindi languages. You can obtain the download links for NCERT Mathematics Class 12, Part 1 and Part 2 books from the provided table below.
|
S.No |
Download NCERT Book for Class 12 Maths |
|
1 |
|
|
2 |
|
|
3 |
|
|
4 |
NCERT Class 12 Maths Textbook Chapters
NCERT Books for class 12 Mathematics offers an elaborate explanation for each chapter in the syllabus. It presents solutions organized according to exercises, comprehensively covering every topic and subtopic. These well-structured solutions serve as invaluable aids for students seeking a deeper comprehension of each concept and the enhancement of their problem-solving skills. To facilitate a more profound understanding, you can download the NCERT Class 12 Mathematics PDF.
NCERT Books for class 12 Mathematics textbook comprises a total of 13 chapters, encompassing significant subjects like Relations and Functions, Matrices, Vector Algebra, Applications of Derivatives, and more. Furthermore, if you are preparing for other competitive exams such as JEE, NEET, etc., these books can be an excellent resource to serve your educational needs.
Unit-Wise Weightage for Class 12
|
Unit No. |
Unit Name |
Marks |
|
1 |
Relation and Function |
8 |
|
2 |
Algebra |
10 |
|
3 |
Calculus |
35 |
|
4 |
Vectors and Three–Dimensional Geometry |
14 |
|
5 |
Linear Programming |
5 |
|
6 |
Probability |
8 |
|
Total Marks |
80 |
|
|
Internal assessment |
20 |
CBSE Class 12 Internal Assessment
Out of the total 100 marks for the exam, the internal assessment component accounts for 20 marks. This assessment comprises three periodic tests, with the two best scores carrying 10 marks. Additionally, the remaining 10 marks will be allocated for mathematical activities, which will be organized by the school or institution.
NCERT Class 12 Maths Chapter-wise Details
Chapter 1: Relations and Functions
Within this PDF's first chapter, you'll delve into theories related to relations and functions, presented in an easily comprehensible manner. This chapter introduces concepts like types of relations and functions, composition of functions, invertible functions, domain, co-domain, and binary operations.
This chapter provides a comprehensive understanding of the topic, making it indispensable for any examination. Furthermore, the PDF explains each sub-topic in great detail to facilitate your grasp of related concepts. The chapter concludes with four exercises, each accompanied by solutions. You can conveniently perform an NCERT Class 12 Maths Part 1 PDF download through the provided links.
Chapter 2: Inverse Trigonometric Functions
The next chapter in this NCERT Class 12 Maths textbook provides an introduction to the topic and covers concepts and properties of inverse trigonometric functions. It includes two exercises with solutions to aid your understanding. These exercises explore the ranges of various trigonometric functions and observe their behavior through graphical representation.
The simplicity of structure in these expertly crafted books, prepared by proficient mathematicians, ensures ease of comprehension. You can easily access the Class 12 Maths NCERT PDF by clicking on the provided links.
Chapter 3: Matrices
This third chapter in the NCERT Class 12 Maths book PDF comprehensively covers all aspects of matrices, including introduction, definitions, types of matrices, equality of matrices, matrix operations (addition and scalar multiplication), properties during addition and multiplication, transposition and its properties, symmetric and skew-symmetric matrices, matrix inverses and elementary operations, and various miscellaneous examples.
In addition to clear explanations of these sub-topics, the chapter offers four exercises to reinforce your understanding, complete with solutions for your convenience.
Chapter 4: Determinants
The subsequent chapter of this NCERT 12 Maths book delves into the realm of matrix determinants. This chapter includes discussions on the definition and significance of determinants, along with an introduction, explanations of determinant properties, methods for finding the area of a triangle, minors and cofactors, the adjoint and inverse of a matrix, applications, and more.
The chapter is complemented by six exercises to solidify your grasp of matrix and its determinants, as well as miscellaneous examples and a summary.
Chapter 5: Continuity and Differentiability
Chapter 5 of the NCERT Class 12 Maths book PDF comprises eight exercises with solutions for in-depth comprehension. It covers topics like continuity, differentiability, exponential and logarithmic functions, derivatives in parametric forms, the mean value theorem, and includes various examples to aid your understanding. A summary section provides a concise overview of the entire chapter, facilitating your preparation.
Chapter 6: Application of Derivatives
This chapter provides a comprehensive exploration of the multiple applications of derivatives. It commences with an introductory overview, followed by discussions on rate of change of quantities, increasing and decreasing functions, tangents and normals, approximations, and maxima and minima.
Each topic within this chapter is accompanied by numerous examples, explanations of associated theorems, and exercises to reinforce your understanding.
Chapter 7: Integrals
Integral calculus is a critical aspect of Class 12 mathematics. This chapter delves into integration, its methods, functions of specific integrals, definite integrals, and their evaluation via substitutions. It includes a range of subtopics such as integration by parts, trigonometric integrals, and more.
Similar to previous chapters, this one provides various examples and exercises to enhance your understanding of integrals.
Chapter 8: Applications of Integrals
Chapter 8 focuses on the practical applications of integrals and their mathematical implications. It discusses the area under simple curves, areas bounded by two curves, and provides a comprehensive understanding of these applications. The chapter includes numerous examples and exercises to facilitate your comprehension.
Chapter 9: Differential Equations
Differential equations have wide-ranging applications beyond mathematics, extending into physics, chemistry, biology, economics, and more. This chapter introduces differential equations, explains general and particular solutions, and offers methods for solving first-order, first-degree differential equations.
The chapter is supported by various examples, exercises, and illustrative content to aid your understanding of the subject.
Chapter 10: Vector Algebra
In this chapter, you'll explore the world of vectors, representing quantities such as displacement, force, velocity, weight, and momentum. The topics covered include the definition of vectors, basic concepts, operations, and various types of vectors, including addition and scalar multiplication.
The chapter offers diagrams, examples, and exercises with solutions to facilitate your comprehension.
Chapter 11: Three-Dimensional Geometry
Building upon the foundation of vector algebra, this chapter delves into three-dimensional geometry. It covers topics like direction cosines and ratios of a line, equations of lines in space, the angle between lines, and more. The chapter includes numerous examples and a summary to conclude your learning.
Chapter 12: Linear Programming
Linear programming is a vital chapter that deals with optimization problems. This chapter introduces the topic and its mathematical formulation, discussing linear programming problems. It offers exercises with solutions and a miscellaneous section.
Chapter 13: Probability
The final chapter covers probability theory, measuring uncertainty in various experiments. It discusses probability outcomes, the axiomatic approach, classical theory, and applications across various fields.
These chapters, presented in the NCERT Class 12 Mathematics book, provide a comprehensive and structured approach to learning mathematics, helping you build a strong foundation for further studies and competitive exams.
NCERT Books Ideal for NCERT Math 12
"Why are NCERT books preferred over others?" is a common question, and there are several compelling reasons that make NCERT books stand out:
Credibility: The foremost advantage of NCERT books is their authenticity. The data and information presented in these books are meticulously verified and sourced from reliable references. Consequently, relying on NCERT books reduces the risk of learning and presenting incorrect information in examinations.
Comprehensive Knowledge: NCERT books are renowned for their comprehensive approach to each subject. They provide an extensive study of every topic, covering all pertinent facts and details. This makes reading NCERT books an effective way for students to acquire in-depth knowledge.
Accessible Language: Another significant benefit of NCERT Class 12 Maths textbooks is their use of straightforward language. The choice of words and writing style is designed to be easily understandable for all students. As a result, students can readily grasp the subject matter without struggling with complex language.
Thorough Presentation: NCERT books are highly detailed, addressing every facet of a topic and incorporating multiple examples and exercises. These exercises and examples break down complex problems, facilitating a better understanding of the underlying concepts. Furthermore, the inclusion of diagrams in these books simplifies the content even further, making it more accessible to students.
Direct Exam Relevance: Last but not least, one of the significant advantages of NCERT books is that they often feature questions in CBSE exams that closely resemble the ones found within these books. This alignment between the book content and exam questions can be highly beneficial for students, as it allows them to practice with questions similar to those they will encounter in the actual exams.
NCERT Books for Class 12 Maths FAQs
Q1. What are the chapters covered in the NCERT Class 12 Maths book?
Ans: The NCERT Class 12 Maths book comprises the following chapters:
-
Relations and Functions
-
Inverse Trigonometric Functions
-
Matrices
-
Determinants
-
Continuity and Differentiability
-
Application of Derivatives
-
Integrals
-
Applications of Integrals
-
Differential Equations
-
Vector Algebra
-
Three-Dimensional Geometry
-
Linear Programming
-
Probability
Q2. Why is it advisable for students to use a Class 12 Maths NCERT PDF?
Ans: Using a Class 12 Maths NCERT PDF is recommended because these PDFs provide authentic, in-depth, and comprehensive knowledge of the subject. They are written in easy-to-understand language, offer comprehensive explanations, include a wide range of examples and exercises, and often contain questions similar to those in board exams, making them an invaluable resource for students' preparation.
Q3. What are the distinctions between CBSE and NCERT textbooks?
Ans: CBSE (Central Board of Secondary Education) is the governing body responsible for conducting exams, while NCERT (National Council of Educational Research and Training) designs the curriculum and creates textbooks. NCERT books are known for their authenticity, in-depth content, easy language, and comprehensive presentation, making them a preferred choice for students. CBSE textbooks, on the other hand, are aligned with the CBSE curriculum but may not always offer the same level of detail and clarity as NCERT books.
Q4. Which books are suggested for JEE mathematics preparation?
Ans: Some recommended books for JEE (Joint Entrance Examination) mathematics preparation include:
-
"Mathematics" by R.D. Sharma
-
"IIT Mathematics for JEE Main & Advanced" by M.L. Khanna
-
"Problems in Calculus of One Variable" by I.A. Maron
-
"Higher Algebra" by Hall and Knight
-
"Differential Calculus and Integral Calculus" by Amit M. Agarwal
-
"Trigonometry" by S.L. Loney
-
"Coordinate Geometry" by S.L. Loney
