NCERT Book Class 12 Maths 2025-26 PDF Free Download

Edited By Vishal kumar | Updated on Jul 03, 2025 08:25 PM IST

Not sure about reading this article? Read this to gain valuable information about NCERT books for class 12, no second thoughts needed. NCERT Math books are like a friend who explains tough concepts simply. If you're looking for an accessible yet comprehensive resource for Class 12 Maths, the NCERT Books for Class 12 Maths should be your go-to study companion. CBSE students preparing for board exams and competitive tests like JEE, NEET, and CUET will find this book especially useful. From relations and functions to matrices, integrals to differentiation, vector algebra to probability, the NCERT books for class 12 Maths cover these important topics to make learning a rewarding experience for students.

This Story also Contains

Explore NCERT Class 12 Maths Chapters in Detail
NCERT Books for Class 12 Maths 2025-26
NCERT Books for Class 12 Maths - Chapter Wise PDF Links
Chapter-Wise Solutions of NCERT Books for Class 12 Maths
NCERT Other Resources for Class 12 Maths

NCERT Book Class 12 Maths 2025-26 PDF Free Download

NCERT Math books turn confusion into confidence. Every chapter of this book transforms a complex concept into a stepping stone for every student's success. The book has been developed with an aim of educating the students not only in the mathematical formulas and concepts, but also focusing on the practical implications and their real worth. NCERT books for class 12 Maths are 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. For your syllabus, concise notes, and chapter-wise PDFs, head over to the following link: NCERT.

Explore NCERT Class 12 Maths Chapters in Detail

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	Concepts, 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 a 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 the 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.

NCERT Books for Class 12 Maths 2025-26

NCERT books follow a clear structure, providing chapters with solved examples and practice questions for effective learning. We at Careers360 strongly advise candidates to download and review these books to better understand the exam structure. These are all the links to the books you will study in the NCERT Class 12 Maths.

Title	Download Link
NCERT 12th Maths Book PDF (Part 1)	Download Now
NCERT 12th Maths Book PDF (Part 2)	Download Now

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NCERT Books for Class 12 Maths - Chapter Wise PDF Links

These are chapter-wise links for the NCERT books for class 12 Maths for both English and Hindi medium.

Chapters	English Medium	Hindi Medium
Chapter 1	Relations and Functions	संबंध एवं फलन
Chapter 2	Inverse Trigonometric Functions	प्रतिलोम त्रिकोणमितीय फलन
Chapter 3	Matrices	आव्यूह
Chapter 4	Determinants	सारणिक
Chapter 5	Differentiability	सांतत्य तथा अवकलनीयता
Chapter 6	Application of Derivatives	अवकलज के अनुप्रयोग
Chapter 7	Integrals	समाकलन
Chapter 8	Application of Integrals	समाकलनों के अनुप्रयोग
Chapter 9	Differential Equations	अवकल समीकरण
Chapter 10	Vector Algebra	सदिश बीजगणित
Chapter 11	Three-dimensional Geometry	त्रि-विमीय ज्यामिति
Chapter 12	Linear Programming	रैखिक प्रोग्रामन
Chapter 13	Probability	प्रायिकता

How to Download NCERT Class 12 Maths Book 2025-26 PDF Free?

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:

Go to the official link: https://ncert.nic.in/
Search "Textbook" in the search bar on the upper right-hand side of the site.
"Textbooks PDF (I-XII)" will show up. Click on this.
Choose ‘Class XII’ from the "Select class" dropdown and select "Mathematics" from the "Select Subject" drop-down list.
Now choose the name of the book: Mathematics (for English medium)/ Ganit (for Hindi medium)/ Riyazi (for Urdu medium) and click on the “Go” button.
Class 12 chapters are divided into two parts. So “Ganit I” or “Mathematics I” or “Riyazi I” will take you to the first 6 chapters, and "Ganit II” or “Mathematics II” or “Riyazi II” will take you to the rest of the 7 chapters.
All the relevant chapters, according to the latest CBSE syllabus, will show up on the left-hand side of the screen.
Click on "Open" for the chapter you want to download. For example, if you want to download chapter 3, Matrices, click on the "Open" link beside chapter 3.
Then, you can see the download option of the PDF on the upper right-hand side of the PDF beside the "Print" option. Click on that to download the chapter.

Chapter-Wise Solutions of NCERT Books for Class 12 Maths

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 to clear the doubts.

NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

NCERT solutions for class 12 Maths chapter 2 Inverse Trigonometric Functions

NCERT solutions for class 12 Maths chapter 3 Matrices

NCERT solutions for class 12 Maths chapter 4 Determinants

NCERT solutions for class 12 Maths chapter 5 Continuity and Differentiability

NCERT solutions for class 12 Maths chapter 6 Application of Derivatives

NCERT solutions for class 12 Maths chapter 7 Integrals

NCERT solutions for class 12 Maths chapter 8 Application of Integrals

NCERT solutions for class 12 Maths chapter 9 Differential Equations

NCERT solutions for class 12 Maths chapter 10 Vector Algebra

NCERT solutions for class 12 Maths chapter 11 Three Dimensional Geometry

NCERT solutions for class 12 Maths chapter 12 Linear Programming

NCERT solutions for class 12 Maths chapter 13 Probability

NCERT Class 12 Books for Other Subjects

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:

NCERT Books for Class 12 Subject Wise

NCERT Book for Class 12 English	NCERT Book for Class 12 Physics
NCERT Books for Class 12 Chemistry	NCERT Books for Class 12 Biology
NCERT Book for Class 12 Hindi

NCERT Other Resources for Class 12 Maths

Apart from the NCERT class 12 Maths books, Careers360 has also designed various other preparation resources for the students’ overall Mathematics preparation for various board exams. The list of ebooks is given below.

Title	Download Link
NCERT Syllabus for Class 12 Maths	Download Now
Class 12th Maths NCERT solutions	Download Now
NCERT Exemplar Class 12 Maths PDF Solutions	Download Now
NCERT Notes for Class 12 Maths	Download Now

Frequently Asked Questions (FAQs)

1. What are the chapters covered in the Class 12 Maths NCERT textbook?

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

2. How many exercises are there in each chapter of the Class 12 Maths NCERT book?

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

3. Where can I find the NCERT Class 12 Maths textbook PDF?

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.

4. Are the NCERT Maths books enough for preparing for board exams?

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.

5. How many marks does the NCERT Class 12 Maths book cover in the board exam syllabus?

Relations: Functions: 08 Marks
Algebra: 10 Marks
Calculus: 35 Marks
Vector & 3-Dimensional Geometry: 14 Marks
Linear Programming: 05 Marks
Probability: 08 Marks
Total: 80 Marks

The remaining 20 numbers are allotted for internal assessment, such as project work, practicals, etc.

Also Read

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NCERT Class 12 Maths Chapter 4 Notes, Determinants Class 12 Chapter 4 Notes

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Popular Questions

A block of mass 0.50 kg is moving with a speed of 2.00 ms^-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1) $0.34\; J$	Option 2) $0.16\; J$
Option 3) $1.00\; J$	Option 4) $0.67\; J$

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up ? Fat supplies 3.8×10⁷J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g = 9.8 ms⁻² :

Option 1)

2.45×10⁻³ kg

Option 2)

6.45×10⁻³ kg

Option 3)

9.89×10⁻³ kg

Option 4)

12.89×10⁻³ kg

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1) $2,000 \; J - 5,000\; J$	Option 2) $200 \, \, J - 500 \, \, J$
Option 3) $2\times 10^{5}J-3\times 10^{5}J$	Option 4) $20,000 \, \, J - 50,000 \, \, J$

A particle is projected at 60⁰ to the horizontal with a kinetic energy $K$ . The kinetic energy at the highest point

Option 1) $K/2\,$	Option 2) $\; K\;$
Option 3) $zero\;$	Option 4) $K/4$

In the reaction,

$2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}$

Option 1) $11.2\, L\, H_{2(g)}$ at STP is produced for every mole $HCL_{(aq)}$ consumed	Option 2) $6L\, HCl_{(aq)}$ is consumed for ever $3L\, H_{2(g)}$ produced
Option 3) $33.6 L\, H_{2(g)}$ is produced regardless of temperature and pressure for every mole Al that reacts	Option 4) $67.2\, L\, H_{2(g)}$ at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, $Mg_{3}(PO_{4})_{2}$ will contain 0.25 mole of oxygen atoms?

Option 1) 0.02	Option 2) 3.125 × 10^-2
Option 3) 1.25 × 10^-2	Option 4) 2.5 × 10^-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1) decrease twice	Option 2) increase two fold
Option 3) remain unchanged	Option 4) be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1) Molality	Option 2) Weight fraction of solute
Option 3) Fraction of solute present in water	Option 4) Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol^-1) is

Option 1) twice that in 60 g carbon	Option 2) 6.023 × 10²²
Option 3) half that in 8 g He	Option 4) 558.5 × 6.023 × 10²³

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t²) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m² , the number of rotations made by the pulley before its direction of motion if reversed, is