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NCERT Book Class 12 Maths 2025-26 PDF Free Download

NCERT Book Class 12 Maths 2025-26 PDF Free Download

Edited By Vishal kumar | Updated on May 18, 2025 01:18 PM IST

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.

This Story also Contains
  1. Explore NCERT Class 12 Maths Chapters in Detail
  2. NCERT Books for Class 12 Maths 2025-26
  3. NCERT Books for Class 12 Maths - Chapter Wise PDF Links
  4. Chapter-Wise Solutions of NCERT Class 12 Maths
  5. Importance of NCERT Maths Book for Class 12
  6. NCERT Class 12 Books for Other Subjects
  7. NCERT Other Resources for Class 12 Maths
NCERT Book Class 12 Maths 2025-26 PDF Free Download
NCERT Book Class 12 Maths 2025-26 PDF Free Download

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.

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

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.

NCERT Books for Class 12 Maths 2025-26

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)

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NCERT 12th Maths Book PDF (Part 2)

Download Now

JEE Main Highest Scoring Chapters & Topics
Just Study 40% Syllabus and Score upto 100%
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NCERT Books for Class 12 Maths - Chapter Wise PDF Links

ChaptersEnglish 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

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:

  • 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.

Chapter-Wise Solutions of NCERT 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 for clearing the doubts.

Importance of NCERT Maths Book for Class 12

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.

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 Other Resources for Class 12 Maths

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

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?

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.

Articles

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 3.8×107 J 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

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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