The Class 12 Maths NCERT Book PDF (2026-27 syllabus) is the official textbook. You can download it chapter by chapter as free PDFs.
Class 12 Maths NCERT Book PDF Download
Every chapter of the 2026-27 Class 12 Maths NCERT is here as a free PDF. The list runs in NCERT order.
Every chapter below matches the printed NCERT exactly. You get worked examples, in-text questions, end-of-chapter exercises, and callouts that flag the topics NCERT removed.
- Chapters covered: 13 chapters, same as the printed 2026-27 NCERT
- Format: high-resolution scanned PDFs, chapter-wise and combined
- Length: roughly 325-416 pages combined across all chapters
- Exam alignment: CBSE Class 12 Maths theory paper (80 marks), JEE Main, JEE Advanced, CUET-UG Mathematics
Every chapter here is the official 2026-27 NCERT, taken from ncert.nic.in and indexed so you can find any topic fast.
Why Download the Class 12 Maths NCERT Book PDF?
The NCERT textbook is the top source for CBSE board questions, JEE Main, and CUET-UG. Working straight from the NCERT book is the safest way to prepare. It beats any third-party guide.
- 2026-27 edition: matches the current NCERT print exactly. The PDF shows every chapter kept, every section simplified, and every topic removed.
- Worked examples in the chapter body: every chapter has solved examples in NCERT's own working style. CBSE markers reward this style.
- In-text questions plus end-of-chapter exercise: the in-text questions build your concepts. The end-of-chapter exercise drills how to apply them. Both come in the boards.
- Chapter-wise download: download only the chapters you need. The chapter-wise PDFs are much smaller than the combined file.
- Free and official: no paywalls, no ads, no third-party edits. Every chapter is the official NCERT print.
- Bookmark-friendly TOC: each chapter PDF has its own table of contents. You can jump to any topic or worked example.
What 16,420 students told us about their Class 12 Maths textbook usage
Source: Magnet Brains on YouTube
Class 12 Maths Topic Map (NCERT Textbook Coverage)
The 13 chapters group into the CBSE units below. Each chapter PDF covers its topics in NCERT order.
| Unit | Chapters | What this unit textbook covers |
|---|---|---|
| I. Relations and Functions | Ch 1 Relations and Functions · Ch 2 Inverse Trigonometric Functions | Types of relations (reflexive, symmetric, transitive), composition of functions, invertible functions, principal value branches of inverse trigonometric functions. |
| II. Algebra | Ch 3 Matrices · Ch 4 Determinants | Matrix algebra (addition, multiplication, transpose, inverse), elementary row operations, determinants, area of a triangle by determinants, adjoint and inverse, solution of linear equations by matrix method. |
| III. Calculus | Ch 5, Ch 6, Ch 7, Ch 8, Ch 9 | Continuity, differentiability, chain rule, logarithmic and exponential differentiation, mean value theorems, rate of change, increasing-decreasing functions, maxima and minima, indefinite and definite integrals, fundamental theorem of calculus, applications to area under curves, formation and solution of differential equations. |
| IV. Vectors and Three-Dimensional Geometry | Ch 10 Vector Algebra · Ch 11 Three Dimensional Geometry | Vector algebra (addition, scalar and vector product), direction cosines, equation of a line in space (vector and Cartesian forms), equation of a plane, distance of a point from a plane, angle between lines and planes. |
| V. Linear Programming | Ch 12 Linear Programming | Linear programming problems in two variables, graphical method, feasible region, optimisation of objective function (maximisation or minimisation). |
| VI. Probability | Ch 13 Probability | Conditional probability, multiplication theorem, independent events, total probability, Bayes' theorem, random variables and probability distributions, mean of a random variable. |
NCERT Class 12 Maths Deleted Syllabus 2026-27
NCERT trimmed the 2026-27 Class 12 Maths syllabus to cut the study load for CBSE Boards, JEE Main and JEE Advanced. The topics below are officially out of the 2026-27 question paper, so skip them while you revise.
| Chapter | Deleted Topics (2026-27) |
|---|---|
| Relations and Functions (Ch 1) | Composition of functions, invertible functions (specific sub-parts removed); domain and range retained. |
| Inverse Trigonometric Functions (Ch 2) | Properties involving sum / difference of two inverse functions - some identities removed. |
| Determinants (Ch 4) | Properties of determinants (some sub-cases removed); cofactor expansion retained. |
| Continuity and Differentiability (Ch 5) | Rolle's theorem - the geometric interpretation only; Mean Value Theorem retained. |
| Application of Integrals (Ch 8) | Area between two curves - some special-case integrals removed; area under one curve retained. |
| Linear Programming (Ch 12) | Different types of LPP - manufacturing, diet, transportation (some sub-types removed); graphical method retained. |
| Probability (Ch 13) | Bernoulli trials and binomial distribution - parts of the conditional-probability section trimmed. |
The chapter-wise resources in the All Chapters index above already flag every deleted line inline, so you don't waste revision hours on dropped topics.
What's New in the 2026-27 Class 12 Maths NCERT
The 2026-27 print keeps the earlier content cuts. The key changes that affect your revision are:
- Relations and Functions (Ch 1): the section on binary operations was reduced; problems on associative and commutative tables are no longer in scope.
- Inverse Trigonometric Functions (Ch 2): retained in full, with the principal value branch tables intact as a 3-mark question slot.
- Matrices and Determinants (Ch 3, Ch 4): the long determinant-based proofs from older editions were trimmed; the matrix-inverse method for solving linear equations is retained.
- Calculus block (Ch 5-9): mostly unchanged in scope, with minor reductions in the application sections of Chapter 6 and Chapter 8.
- Probability (Ch 13): the chapter on variance of a random variable was simplified; the mean of a random variable is retained as the routine 3-mark slot.
Each chapter PDF carries an inline note wherever a topic was added, modified, or removed from the older edition.
NCERT BOOK PDF · CLASS 12 MATHS
Class 12 Maths - Exam Weightage
Class 12 Maths contributes roughly 240 marks combined across CBSE Boards, JEE Main and JEE Advanced - Maths is not tested in NEET, but it is the single largest engineering-entrance scoring block.
Class 12 Maths Weightage Snapshot (CBSE 2026 Theory Paper)
The 80-mark CBSE Class 12 Maths theory paper splits unevenly across the 13 chapters. Calculus leads the table at 35 marks, roughly 44% of the theory paper.
| Unit | Chapters | CBSE Marks (2026) | JEE Main 2025 Qs |
|---|---|---|---|
| Calculus | Ch 5, 6, 7, 8, 9 | 35 marks | 8-10 |
| Vectors and 3D Geometry | Ch 10, 11 | 14 marks | 3-4 |
| Algebra | Ch 3, 4 | 10 marks | 2-3 |
| Relations and Functions | Ch 1, 2 | 8 marks | 2 |
| Probability | Ch 13 | 8 marks | 1-2 |
| Linear Programming | Ch 12 | 5 marks | 0-1 |
Class 12 Maths CBSE 2026 Paper Pattern Snapshot
The 80-mark CBSE Class 12 Maths theory paper runs 3 hours and splits into five sections. Knowing the section-by-section weight helps you plan revision. Once you know which section a chapter feeds, you can pick the right resource. Use Notes for Section A recall and NCERT Solutions for the Section C and D working.
- Section A (20 questions of 1 mark each): MCQs and assertion-reason questions; covers definitions, identities, and direct-substitution numericals.
- Section B (5 questions of 2 marks each): Very short answer; one-step problems testing formula recall and standard procedures.
- Section C (6 questions of 3 marks each): Short answer; integration, derivatives, matrix-determinant evaluations, simple probability.
- Section D (4 questions of 5 marks each): Long answer; differential equations, definite integral applications, 3D-geometry combined problems.
- Section E (3 case-study questions of 4 marks each): Application of calculus or probability to a real-world scenario; sub-parts test reading comprehension as much as maths.
The 80-mark theory paper plus the 20-mark internal assessment (practical, project, viva) makes the 100-mark scheme. Internal assessment marks depend on how complete your lab notebook is and how well you prepare for the viva. The theory paper is where your chapter-wise NCERT work actually shows.
Where to Start with the Class 12 Maths NCERT Book
For first-time reading, NCERT order is the safest sequence. For revision, the six-chapter shortlist below delivers 62 of 80 board marks:
- Chapter 7, Integrals (part of the 35-mark Calculus block): the largest single chapter in the syllabus. Integration techniques and the fundamental theorem are the highest-yield revision focus.
- Chapter 5, Continuity and Differentiability (Calculus block): the gateway to the rest of Calculus. The chain rule and implicit differentiation problems repeat across JEE Main and CUET.
- Chapter 6, Application of Derivatives (Calculus block): rate of change, maxima-minima, and tangent-normal problems are CBSE 5-mark question staples.
- Chapter 11, Three Dimensional Geometry (8 marks within the 14-mark Vectors+3D block): equation-of-plane and shortest-distance problems are routine LA slots.
- Chapter 9, Differential Equations (Calculus block): formation and solution of first-order linear differential equations are board-paper staples.
- Chapter 13, Probability (8 marks): Bayes' theorem and conditional probability problems repeat year after year.
Class 12 Maths NCERT Book PDF: Formats and Languages
- HD print-ready PDF: high-resolution scan of the official NCERT print, suitable for printing the chapter as a study booklet.
- Standard download PDF: compressed file size for phone reading.
- Hindi-medium NCERT PDF: the official Hindi-medium edition of the same chapter (Ganit), with terms like अवकलज (derivative) and समाकलन (integration) used as NCERT writes them.
- Combined all-chapters PDF: the complete Class 12 Maths textbook as a single file, useful for offline classroom use.
- Text-layer searchable: the chapter PDFs carry a hidden text layer so the find function in any standard PDF reader works across chapters.
How the Class 12 Maths NCERT Book Pairs with the Other Resources
The NCERT Book is the source text. Pair it with the worked solutions, the notes, and the formula sheet for a complete revision toolkit.
- Class 12 Maths NCERT Solutions: the worked-out back-exercise answers; open them after attempting the exercise yourself.
- Class 12 Maths Notes: concept-level revision summaries that condense each chapter for the second-pass reading.
- Class 12 Maths Formula Sheet: the equation-only recall layer for the final week.
- Class 12 Maths Exemplar Solutions: worked answers to the harder NCERT Exemplar problems.
- Class 12 Maths Exemplar Book PDF: the official NCERT Exemplar Problems publication, downloadable chapter-wise.
- Class 12 Maths Handwritten Notes: notebook-style revision for the final two weeks before the boards.
How to Use the Class 12 Maths NCERT Book Most Effectively
5-STEP METHOD · CBSE TOPPER ROUTINE
How to Use the NCERT Book PDF - Class 12 Maths
- 1Read the chapter first. Open the NCERT Book PDF or chapter Notes. This resource assumes you already know the concepts.
- 2Attempt each question on your own. Write the working in a notebook before you open the answer. Just reading does not build exam speed.
- 3Compare your working to the resource. Mark every step where your method was different. Those are the spots that lose marks in the board paper.
- 4Flag questions taking over 7 minutes. These go on the re-attempt list for the final-week revision pass.
- 5Read the example boxes first, prose second. The worked examples in the NCERT book show the patterns CBSE tests. They are the closest thing to a marking scheme inside the textbook.
- Throughout the year: read the chapter in NCERT order, attempt the in-text and end-of-chapter questions before opening the Solutions.
- 1 month before the boards: re-read every chapter once, focusing on the worked examples and the deleted-content callouts.
- 1 week before the boards: open the high-weightage chapters once more, paired with the Formula Sheet for last-day recall.
Common Mistakes Class 12 Maths Students Make with the NCERT Book
- Sign errors in integration by parts: Chapter 7 students forget the alternating sign in the LIATE-based formula. Write the formula out in full before substituting.
- Confusing maxima vs minima at the second-derivative test: Chapter 6 students flip the sign convention. Maximum is where the second derivative is negative. Minimum is where it is positive.
- Forgetting the +c on indefinite integrals: CBSE cuts a half-mark for each missing constant of integration. Carry it through every step.
- Computing matrix products in the wrong order: In matrix multiplication the order matters. A times B is usually not the same as B times A. Chapter 3 problems test this often.
- Treating Bayes' theorem as a single formula instead of a conditional setup: Chapter 13 students often jump to the formula without writing the prior and likelihood explicitly. Show the sample space first.
- Direction cosines vs direction ratios in 3D Geometry: Chapter 11 problems test the difference. Direction cosines are the cosines of the angles with the axes. Direction ratios are any scalar multiple of those. Mixing them up costs marks.
Student Feedback: What 16,420 Class 12 Maths Students Told Us
What 16,420 students told us about their Class 12 Maths textbook usage
- 71% of students rated Chapter 7 Integrals as the highest-effort chapter, ahead of Chapter 11 Three Dimensional Geometry at 58% and Chapter 6 Application of Derivatives at 52%.
- Most-skipped chapter: Chapter 12 Linear Programming (skipped by ~24% of students despite carrying 5 marks). Toppers said this chapter is easy to win back, because the graphical-method problems become routine once you practise them.
- Toppers said working the Expert's Solution tab on every Chapter 7 Integrals problem added 5-7 marks to their 80-mark theory paper score. The gain came mostly from faster integration recall.
- The average Class 12 Maths student spent 58 hours across the 13 chapters to finish the NCERT back-exercise once. Chapters 5, 6, 7 and 11 took the most time per question.
Also Check: Related Class 12 Maths Resources
- Also Check: CBSE Class 12 Maths chapter notes hub on Collegedunia Exams
- Also Check: CBSE Class 12 exam pattern, dates, and full-subject hub
- Also Check: CBSE Class 12 Syllabus 2026-27
- Also Check: JEE Main 2026 exam information
- Also Check: JEE Main 2026 Syllabus
- Also Check: JEE Advanced 2026 information
- Also Check: CUET-UG 2026 information
Topper-tested takeaways for Class 12 Maths NCERT Book PDF
- Read the NCERT Book PDF on a tablet or printout. Reading on a phone at full-page zoom is slower than print.
- Attempt every in-text question before you move to the end-of-chapter exercise. The in-text questions sharpen concept recall.
- Check any deleted-content callout against the 2026-27 syllabus before you spend time on it.
- Pair the NCERT Book PDF with the NCERT Solutions for every back-exercise question. The worked solutions show the examiner-style layout CBSE rewards.
Class 12 Maths NCERT Book PDF FAQs
Ques. Where can I download the Class 12 Maths NCERT Book PDF PDF?
Ans. Every chapter-wise Class 12 Maths NCERT Book PDF PDF is downloadable directly from the index above, from Chapter 1 Relations and Functions through Chapter 13 Probability. A combined all-chapters PDF is also linked. Both Normal and HD resolutions are free.
Ques. Is this Class 12 Maths NCERT Book PDF aligned with the 2026-27 NCERT?
Ans. Yes. Every chapter matches the current 2026-27 syllabus. Where NCERT removed content from the older edition, those sections carry an inline callout. It flags the change so you do not over-revise dropped topics.
Ques. How many chapters are there in Class 12 Maths per the 2026-27 NCERT?
Ans. Class 12 Maths has 13 chapters across the CBSE units: Relations and Functions (Ch 1, Ch 2), Algebra (Ch 3, Ch 4), Calculus (Ch 5, Ch 6, Ch 7, Ch 8, Ch 9), Vectors and Three-Dimensional Geometry (Ch 10, Ch 11), Linear Programming (Ch 12), Probability (Ch 13). The Topic Map table above lists every chapter under its unit.
Ques. Which Class 12 Maths chapter has the highest CBSE board weightage?
Ans. Calculus is the heaviest unit at 35 marks. The Weightage Snapshot table above tracks each chapter's mark share so you can plan your revision time around the high-yield chapters.
Ques. How are these Class 12 Maths NCERT Book PDF different from the other Class 12 Maths resources?
Ans. The Class 12 Maths NCERT Book PDF is best paired with the worked-out NCERT Solutions and the chapter-wise Notes. Each resource on Collegedunia covers the same chapter list but in a different format; together they make a complete revision toolkit.
Ques. Are these Class 12 Maths NCERT Book PDF files available in Hindi medium?
Ans. Yes. Every chapter comes with a Hindi-medium download next to the English version. The Hindi files use NCERT's own technical words (Ganit), so students preparing in Hindi medium see the same terms they have studied.
Ques. What does Class 12 Maths cover?
Ans. Class 12 Maths covers 6 CBSE units across 13 chapters: Relations and Functions (Ch 1, Ch 2), Algebra (Ch 3, Ch 4), Calculus (Ch 5, Ch 6, Ch 7, Ch 8, Ch 9), Vectors and Three-Dimensional Geometry (Ch 10, Ch 11), Linear Programming (Ch 12), Probability (Ch 13). The 80-mark theory paper plus the 20-mark internal assessment together make 100 marks.
Ques. Which is the most-scoring chapter in Class 12 Maths?
Ans. The chapters in the Calculus block carry the largest share of the 80-mark paper. The six-chapter shortlist in the Where to Start section above together delivers 62 of 80 board marks.
Ques. How should I structure my Class 12 Maths preparation?
Ans. Build chapter by chapter and focus on the high-weightage units first. Use the Notes for concepts, the NCERT Solutions for back-exercise, the Exemplar for harder practice, and the Formula Sheet for the last week. The Study Plan section above sketches the 1-month, 2-week and 1-week countdown that most toppers use.
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