Class 12 Maths Handwritten& Short Notes [PDF]
Class 12 Mathematics is one of the most crucial subjects for board exams as well as competitive entrance exams like JEE Main, JEE Advanced, and CUET. Many students find it challenging to remember all the formulas, derivations, and to solve complex problems.
That's why we have provided you with Class 12 NCERT-based Math handwritten notes PDF in English medium for all chapters, trusted by toppers. These notes are written in a step-by-step, easy-to-understand language so you can easily learn even the hard concepts and score excellent marks in your board exams.
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| Class 12 Math Notes PDF |
| Subject | Mathematics |
| Class | 12th |
| Notes Type | Handwritten Notes (PDF) |
| Total Chapters | 13 (Latest Syllabus 2026-27) |
| Medium | English |
| Exam Focus | Boards, JEE Main, JEE Advanced, CUET |
Class 12 Maths Chapter-Wise Analysis
We have analyzed all the chapters and their weightage across CBSE & State Boards, JEE, and CUET — use this guide to prioritize your revision. Each chapter includes a breakdown of topics, common mistakes, and self-check tips.
Relations and Functions
Covers: types of relations (reflexive, symmetric, transitive, equivalence), types of functions (one-one, onto, bijective), composition of functions, and invertible functions.
Where students lose marks: forgetting to check all three properties of equivalence relations and confusing one-one with onto. Always draw arrow diagrams while practicing.
Quick self-check: can you prove a given relation is an equivalence relation in under 2 minutes? If yes, you're ready.
Inverse Trigonometric Functions
Covers: definition and domain/range of inverse trigonometric functions, principal value branches, and properties of inverse trigonometric functions.
Memorize the principal value ranges thoroughly — this is where most students get confused. Practice simplification problems involving compositions of inverse functions.
Matrices
Covers: types of matrices, operations (addition, subtraction, multiplication), transpose, symmetric and skew-symmetric matrices, elementary operations, and invertible matrices.
Matrix multiplication is not commutative — this catches many students off guard. Also, pay attention to the order of multiplication in word problems.
Determinants
Covers: determinant of a square matrix, properties of determinants, adjoint and inverse of a matrix, and solving linear equations using Cramer's rule and matrix method.
Practice using row/column operations to simplify determinants before expanding — this saves time in exams.
Continuity and Differentiability
Covers: continuity of functions at a point and on an interval, differentiability, chain rule, derivatives of inverse trigonometric functions, implicit differentiation, and logarithmic differentiation.
This is the foundation of Calculus. Don't leave any doubt — practice every NCERT exercise problem thoroughly.
Application of Derivatives
Covers: rate of change of quantities, increasing and decreasing functions, tangents and normals, maxima and minima, and approximations.
Maxima and minima problems with word descriptions are the trickiest. Always clearly define the function you're optimizing.
Integrals
Covers: indefinite integrals, methods of integration (substitution, partial fractions, integration by parts), and definite integrals with properties.
Practice every NCERT integral at least twice. The exam often has direct questions from the NCERT exercise.
Application of Integrals
Covers: area under simple curves, area between two curves, and applications in geometry.
Always sketch the curves before starting the integration — it helps identify the correct limits and the region to integrate.
Differential Equations
Covers: order and degree of differential equations, general and particular solutions, variable separable method, homogeneous equations, and linear differential equations.
Identifying the type of differential equation is half the battle. Practice classifying equations before attempting to solve.
Vector Algebra
Covers: vectors and scalars, direction cosines and direction ratios, addition of vectors, scalar product, and vector product of two vectors.
Understand the geometric meaning of dot and cross products — this helps in 3D geometry and physics applications.
Three Dimensional Geometry
Covers: direction cosines and direction ratios of a line, equation of a line in space, equation of a plane, angle between lines and planes, and distance of a point from a plane.
Visualization is key — draw diagrams whenever possible. The formulas are lengthy, so practice writing them from memory.
Linear Programming
Covers: linear programming problems, formulation of LPP, graphical method of solving LPP (two variables only), and feasible region.
Most marks are lost in the formulation stage — practice converting word problems into mathematical constraints.
Probability
Covers: conditional probability, multiplication theorem, Bayes' theorem, random variables, probability distribution, mean and variance of random variables, and Bernoulli trials.
Bayes' theorem problems are the most important — practice at least 10 different varieties to become comfortable.
Preview & Download Class 12 Maths Notes
Get instant access to the complete handwritten notes PDF. Preview it online or download it directly for offline study.
Using These Notes for Self-Study
If you're preparing on your own, here's the most effective order to study the chapters using these notes:
- Start with Matrices and Determinants — these are fundamental and relatively easy to score marks in.
- Move to Relations and Functions, then Inverse Trigonometric Functions — these build on Class 11 concepts and have direct weightage.
- Group Continuity & Differentiability with Application of Derivatives — one is the theory, the other is its application.
- Then tackle Integrals and Application of Integrals — integration is the other half of calculus.
- Do Differential Equations after integration — it's the natural next step.
- Study Vector Algebra before Three Dimensional Geometry — the vector concepts are applied in 3D geometry.
- Save Linear Programming and Probability for last — these are relatively independent and can be revised quickly.
Use these notes as revision material after you've attempted the NCERT exercises for each chapter. The "where students lose marks" tips will help you avoid common exam pitfalls.
What's Included in the Notes
- All 13 chapters of the 2026-27 NCERT syllabus
- Handwritten, exam-focused content with clear explanations
- Strictly NCERT-aligned
- Boards, JEE, and CUET relevant points marked separately
- Important formulas and derivations highlighted
- Common mistakes and tips to avoid them
- Preview option available before downloading
Class 12 Maths Syllabus (2026-27)
Student Reviews
The Calculus section is a lifesaver! I was struggling with integration methods, but these notes broke it down so simply. Scored 95 in my pre-boards!
These notes are exactly what I needed for JEE preparation. The 'where students lose marks' tips helped me avoid silly errors in the exam hall.
Very well organized and easy to understand. The chapter-wise breakdown makes it perfect for last-minute revision before board exams.
Frequently Asked Questions
How many chapters are in Class 12 Maths for 2026-27?
There are 13 chapters in the latest NCERT syllabus. No chapters were removed or added for 2026-27.
Which chapters carry the most weight in CBSE Boards?
Calculus chapters (Continuity and Differentiability, Application of Derivatives, Integrals, and Differential Equations) typically carry the highest weight, followed by Matrices and Determinants, and Three Dimensional Geometry. Together they cover about 50% of the paper.
Is Class 12 Maths harder than Class 11?
Class 12 Maths introduces more complex topics like calculus, which many students find challenging. However, with consistent practice and good revision notes, it becomes manageable. The key difference is that Class 12 requires deeper application of concepts rather than just formula recall.
Do I still need the NCERT textbook with these notes?
Yes! These notes are meant for revision and formula recall. Always refer to the NCERT textbook to learn concepts and solve all exercise problems first. Use these notes during revision, especially close to exams, to quickly recall key formulas and methods.
Are these notes sufficient for JEE Main preparation?
These notes are excellent for building strong conceptual foundations and quick revision. For JEE Main, you should supplement them with additional practice questions and previous year papers. The notes highlight topics that are particularly important for JEE and CUET.
Are these notes available in Hindi?
This set of notes is in English. Hindi-medium notes for Class 12 Maths are published separately on our website.
Summary
In this post, we have provided you with Class 12 Mathematics All Chapter Handwritten Notes according to the latest NCERT syllabus for all types of exams, including CBSE Boards, JEE Main, JEE Advanced, and CUET. These notes are carefully made to help you master complex mathematical concepts and solve application-based problems with ease. If students face any issues with the notes, they can contact us.