Complete Chapter-wise CBSE Class 12 Maths Notes for Quick Revision

CBSE Class 12 Maths notes are essential study resources designed to help students understand and revise the core mathematical concepts required for board exams and competitive tests like JEE. These notes are carefully structured to match the latest CBSE syllabus and simplify each chapter with concise explanations, key formulas, solved examples, and important points. The topics covered in the notes include Relations and Functions, Algebra, Calculus, Vectors, 3D Geometry, Linear Programming, and Probability. Each chapter is broken down into smaller sections so that students can grasp concepts more effectively. The notes focus on conceptual clarity, offering step-by-step methods to solve problems and highlighting common mistakes to avoid in exams.

These notes are highly beneficial for last-minute revision and practice. They include formula sheets, shortcuts, and summary tables that save time and boost confidence before the exam. Students can also use them as reference material for assignments, homework, or quick review before tests. Home-tution.com provides high-quality CBSE Class 12 Maths notes prepared by subject experts. Whether you're aiming for full marks or just want to strengthen your basics, these notes provide a reliable foundation. Available in both printable and online formats, they offer flexibility and easy access anytime, anywhere. With the right set of notes, learning Class 12 Maths becomes less stressful and more goal-oriented. Regular use of these notes can help improve problem-solving skills, time management, and exam performance. Make them a part of your daily study routine to score high in your board exams.

S.noFormulas List
1.Trigonometric equations
2.Solution of the triangle
3.Height and distance
4.Inverse trigonometric function
5.Exponential and logarithm series
6.Logarithm & properties
7.Quadratic equations
8.Indefinite integral
9.Definite integrals
10.Differential equation
11.Matrix
12.Determinant
13.circle
14.parabola
15.Ellipse
16.Hyperbola
17.vector
18.Mathematical induction
19.Statics and dynamics
20.Hyperbola function

CBSE Class 12 Maths Notes – Chapter-wise PDF and Key Concepts

 

1. Relations and Functions

This chapter deals with the basic concepts of relations and functions. It explains how to link two sets using different types of relations like one-to-one, onto, and many-to-one. It also includes composite functions and inverse of functions. Understanding these basics is important for advanced topics in Algebra and Calculus.

2. Inverse Trigonometric Functions

Here, students learn how to reverse trigonometric functions. It includes the domain and range of inverse trigonometric functions and their properties. These concepts are essential for solving complex equations in Calculus and are frequently asked in board and entrance exams.

3. Matrices

Matrices are rectangular arrangements of numbers. This chapter covers the types of matrices, operations on them like addition, multiplication, and transpose. Students also learn how to find the inverse of a matrix. These concepts are widely used in computer science and data analysis.

4. Determinants

Determinants help in solving systems of equations. This chapter teaches how to calculate the determinant of a matrix and apply it in finding the area of triangles, checking consistency of equations, and solving linear equations using a method called Cramer's Rule.

5. Continuity and Differentiability

This chapter builds upon what students learned in Class 11 about functions and derivatives. It explains when a function is continuous and differentiable, and how to find derivatives of composite and implicit functions. It also introduces the concept of logarithmic and exponential differentiation.

6. Application of Derivatives

This chapter explores the real-life use of derivatives. Students learn how to find increasing or decreasing functions, tangents and normals to curves, and maximum or minimum values of functions. These skills are important for solving problems in physics and economics.

7. Integrals

Integration is the reverse process of differentiation. This chapter introduces different techniques of integration like substitution, partial fractions, and by parts. It also includes definite integrals and their properties, which are used to find areas under curves.

8. Application of Integrals

In this chapter, students learn how to use integrals to calculate the area under curves and between two curves. These methods are helpful in real-life applications such as measuring land area or computing physical quantities.

9. Differential Equations

This chapter covers equations that involve derivatives. Students learn how to form and solve different types of differential equations. These are useful in fields like biology, economics, and engineering to model changing systems.

10. Vector Algebra

Vectors are quantities with both direction and magnitude. This chapter explains how to add and multiply vectors, find scalar and vector products, and solve problems based on geometric applications of vectors. These concepts are crucial in physics and engineering.

11. Three Dimensional Geometry

Building on vector algebra, this chapter explains how to find the distance between points, angle between lines and planes, and equations of lines and planes in space. These skills are useful in physics and architectural design.

12. Linear Programming

This chapter deals with optimization problems. It teaches students how to formulate and solve problems related to maximum profit or minimum cost under given constraints using graphical methods. It is widely used in business and management studies.

13. Probability

This chapter introduces the concepts of conditional probability, independent events, and Bayes’ Theorem. It also covers probability distribution and mean and variance of random variables. These concepts are applied in data science, insurance, and everyday decision-making.

 

Key Features of Our Class 12 Maths Notes

  1. Chapter-wise Coverage:
    Each chapter is explained separately with a clear and structured format. This makes it easier to revise specific topics without confusion.

  2. Simple Language, Easy Explanation:
    Concepts are explained in a student-friendly tone, avoiding complex jargon. This helps all students understand the basics without stress.

  3. Important Formulas and Definitions Highlighted:
    All key formulas, definitions, and theorems are highlighted separately for quick revision before exams.

  4. Step-by-step Problem Solving:
    The notes include solved examples with clear steps, helping students understand how to approach and solve different types of questions.

  5. Based on the Latest CBSE Syllabus:
    All content strictly follows the updated CBSE curriculum and exam pattern, ensuring you're studying what truly matters.

  6. Supports Board & Competitive Exams:
    These notes are not just for board exams; they also help build a strong base for entrance exams like JEE and CUET.

  7. Ready for Last-minute Revision:
    Crisp summaries, shortcut methods, and formula sheets are provided to aid in last-minute preparation.

  8. Accessible Anytime, Anywhere:
    Our notes are available in both online view and PDF download formats, making study flexible and convenient.

CBSE Class 12 Maths Notes | Chapter-wise Key Concepts & Formulas