Mathematics Class 12 ICSE - Notes & Study Material for Class 12
Get access to free study material for Mathematics Class 12 ICSE of Class 12 for 2026 exams, with Revision Notes, PPTs, Flashcards, Question & Answer, & more.
Chapter 1 - Relations and Functions
| JEE Main Previous Year Questions (2016- 2025): Functions 57 pages |  |
| Important Formulas: Functions With Examples 3 pages |  |
| NCERT Solutions: Relations and Functions 29 pages |  |
| Relations & Its Types 10 pages |  |
| Relations and Functions: Assertions & Reason Type Questions 8 pages |  |
| Real Valued Functions 12 pages |  |
| Classification of Functions 9 pages |  |
| Composition of Functions 6 pages |  |
| Cartesian Product of Two Sets 4 pages |  |
| Periodic & Inverse Function 7 pages |  |
| NCERT Textbook - Relations and Functions 17 pages |  |
| NCERT Solutions (Miscellaneous Exercise) - Relations and Functions 15 pages |  |
| NCERT Exemplar - Relations and Functions (Part - 1) 17 pages |  |
| NCERT Exemplar - Relations and Functions (Part - 2) 11 pages |  |
| Important Formulas: Functions Formulas 12 pages |  |
| Important Questions: Relations & Functions - 1 4 pages |  |
| Important Questions: Relations & Functions - 2 20 pages |  |
| Types of Functions 12 pages |  |
| Flashcards: Sets, Relations and Functions 36 cards |  |
| Mind Map: Relations & Functions 8 pages |  |
Chapter 2 - Inverse Trigonometric Functions
| NCERT Solutions Exercise 2.2: Inverse Trigonometric Functions 9 pages |  |
| NCERT Solutions Exercise 2.1: Inverse Trigonometric Functions 7 pages |  |
| NCERT Textbook: Inverse Trigonometric Functions 16 pages |  |
| Properties of Inverse Trigonometric Functions 8 pages |  |
| NCERT Solutions Exercise Miscellaneous: Inverse Trigonometric Functions 13 pages |  |
| NCERT Exemplar: Inverse Trigonometric Functions 7 pages |  |
| Basics Concepts: Inverse Trigonometric Functions 6 pages |  |
| Solved Examples for JEE: Inverse Trigonometric Functions 2 pages |  |
| Important Formulas: Inverse Trigonometric Functions 5 pages |  |
| Important Questions: Inverse Trigonometric Functions 2 pages |  |
| Mind Map: Inverse Trigonometric Functions 3 pages |  |
| Flashcards: Inverse Trigonometric Functions 38 cards |  |
Chapter 3 - Matrices
| NCERT Solutions Exercise 3.1: Matrices 5 pages |  |
| NCERT Solutions Exercise 3.2: Matrices 30 pages |  |
| NCERT Exemplar - Matrices(Part-1) 16 pages |  |
| NCERT Exemplar - Matrices(Part-2) 12 pages |  |
| NCERT Textbook: Matrices 42 pages |  |
| Matrix Operations 9 pages |  |
| System of Linear Equations 6 pages |  |
| NCERT Solutions Exercise 3.3: Matrices 20 pages |  |
| NCERT Solutions Exercise 3.4: Matrices 1 page |  |
| Overview: Matrices 9 pages |  |
| Operations of Matrix 11 pages |  |
| Adjoint and Inverse of a Matrix 4 pages |  |
| Types of Matrices 8 pages |  |
| Transpose and Inverse of a Matrix 5 pages |  |
| Flashcards: Matrices 30 cards |  |
| Mind Map: Matrices 5 pages |  |
Chapter 4 - Determinants
| NCERT Solutions Miscellaneous Exercise: Determinants 22 pages |  |
| NCERT Solutions: Determinants 10 pages |  |
| NCERT Solutions Exercise 4.2: Determinants 2 pages |  |
| NCERT Textbook: Determinants 28 pages |  |
| NCERT Exemplar - Determinants(Part-1) 10 pages |  |
| NCERT Solutions Exercise 4.3: Determinants 8 pages |  |
| NCERT Solutions Exercise 4.4: Determinants 5 pages |  |
| Types of Determinants and Their Properties 5 pages |  |
| NCERT Solutions Exercise 4.5: Determinants 9 pages |  |
| NCERT Exemplar - Determinants(Part-2) 8 pages |  |
| Important Formulas: Determinants 4 pages |  |
| Mind Map: Determinants 2 pages |  |
| Flashcards: Determinants 36 cards |  |
Chapter 5 - Continuity and Differentiability
| NCERT Solutions Continuity & Differentiability 19 pages |  |
| NCERT Solutions Exercise 5.2: Continuity & Differentiability 1 page |  |
| NCERT Solutions Exercise 5.3: Continuity & Differentiability 1 page |  |
| Differentiability of a Function and Rate of Change 9 pages |  |
| NCERT Solutions Exercise 5.4: Continuity & Differentiability 1 page |  |
| NCERT Textbook: Continuity and Differentiability 43 pages |  |
| Theorems of Continuity 3 pages |  |
| NCERT Exemplar: Continuity and Differentiability- 1 9 pages |  |
| Classification of Discontinuity 2 pages |  |
| Derivability Over An Interval 6 pages |  |
| Relation Between Continuity & Differentiability 3 pages |  |
| NCERT Exemplar: Continuity and Differentiability- 2 15 pages |  |
| Important Formulas: Limit and Continuity & Differentiability of Function 9 pages |  |
| Important Questions: Continuity & Differentiability 2 pages |  |
| NCERT Solutions Exercise 5.5: Continuity & Differentiability 20 pages |  |
| NCERT Solutions Exercise 5.6: Continuity & Differentiability 9 pages |  |
| NCERT Solutions Exercise 5.7: Continuity & Differentiability 12 pages |  |
| NCERT Solutions Miscellaneous Exercise: Continuity and Differentiability 20 pages |  |
| Mind Map: Continuity & Differentiability 3 pages |  |
| Flashcards: Continuity and Differentiability 44 pages |  |
Chapter 6 - Application of Derivatives
| NCERT Textbook: Application of Derivatives 40 pages |  |
| NCERT Solutions: Application of Derivatives 33 pages |  |
| NCERT Solutions: Exercise 6.2 - Application of Derivative 7 pages |  |
| NCERT Solutions: Exercise 6.3 - Application of Derivative 15 pages |  |
| NCERT Exemplar: Application of Derivatives- 1 22 pages |  |
| Tangents at the Origin 12 pages |  |
| Tangent and Normal 17 pages |  |
| Maxima and Minima of a Function 26 pages |  |
| Increasing and Decreasing Functions & Monotonicity 36 pages |  |
| NCERT Exemplar: Application of Derivatives- 2 14 pages |  |
| Important Formulas: Application of Derivatives Formulas 12 pages |  |
| Important Questions: Applications of Derivatives 3 pages |  |
| NCERT Solutions: Exercise 6.4 - Application of Derivative 21 pages |  |
| NCERT Solutions: Exercise 6.5 - Application of Derivative 47 pages |  |
| NCERT Solutions Miscellaneous Exercise: Application of Derivative 35 pages |  |
| Flashcards: Application of Derivatives 30 cards |  |
| Mind Map: Applications of Derivatives 2 pages |  |
Chapter 7 - Integrals
| NCERT Textbook: Integrals 67 pages |  |
| NCERT Solutions Exercise- 7.1: Integrals 13 pages |  |
| Integration by Substitution & Trigonometric Identities 3 pages |  |
| Introduction to Integrals 4 pages |  |
| NCERT Exemplar: Integrals 7 pages |  |
| Integration by Partial Fractions 8 pages |  |
| Integrals of Some Functions 15 pages |  |
| Integration by Parts 1 page |  |
| Definite Integration and Its Properties 5 pages |  |
| Euler's Substitutions 1 page |  |
| Important Formulas: Integration by Reduction Formula 4 pages |  |
| Integration of Irrational Functions 2 pages |  |
| Derivative of Antiderivative (Leibniz Rule) 2 pages |  |
| Definite Integral As Limit Of A Sum And Estimate Of Definite Integrals 6 pages |  |
| NCERT Solutions Exercise- 7.2: Integrals 29 pages |  |
| NCERT Solutions Exercise- 7.3: Integrals 21 pages |  |
| NCERT Solutions Exercise- 7.4: Integrals 31 pages |  |
| NCERT Solutions Exercise- 7.5: Integrals 29 pages |  |
| NCERT Solutions Exercise- 7.6: Integrals 18 pages |  |
| NCERT Solutions Exercise- 7.10: Integrals 25 pages |  |
| NCERT Solutions Exercise- 7.7: Integrals 8 pages |  |
| NCERT Solutions Exercise- 7.8: Integrals 17 pages |  |
| NCERT Solutions Exercise- 7.9: Integrals 15 pages |  |
| NCERT Solutions: Integrals (Miscellaneous) 50 pages |  |
| Fundamental Theorem of Calculus 5 pages |  |
| Important Questions: Integrals 2 pages |  |
| Mind Map: Integral 3 pages |  |
| Flashcards: Indefinite Integrals 28 cards |  |
| Flashcards: Definite Integrals 16 pages |  |
Chapter 8 - Application of Integrals
| NCERT Solutions - Exercise 8.1 : Application of Integral 1 page |  |
| NCERT Exemplar: Application of Integrals 12 pages |  |
| Area of Bounded Region 3 pages |  |
| NCERT Textbook: Application of Integrals 8 pages |  |
| Important Questions: Applications of Integrals 2 pages |  |
| NCERT Solutions - Exercise Miscellaneous : Application of Integral 1 page |  |
| NCERT Solutions - Exercise 8.1 : Application of Integrals 19 pages |  |
| NCERT Solutions - Exercise 8.2 : Application of Integrals 15 pages |  |
| NCERT Solutions Miscellaneous Exercise: Application of Integrals 27 pages |  |
| Mind Map: Application of Integrals 2 pages |  |
| Flashcards: Application of Integral 30 cards |  |
Chapter 9 - Differential Equations
| NCERT Solutions Differential Equations 5 pages |  |
| NCERT Solutions - Exercise 9.2: Differential Equations 2 pages |  |
| NCERT Solutions - Exercise 9.3: Differential Equations 6 pages |  |
| NCERT Solutions - Exercise 9.4: Differential Equations 4 pages |  |
| NCERT Solutions - Exercise 9.5: Differential Equations 4 pages |  |
| NCERT Solutions - Exercise Miscellaneous: Differential Equations 5 pages |  |
| NCERT Exemplar: Differential Equations 23 pages |  |
| Differential Equations 8 pages |  |
| NCERT Textbook: Differential Equations 38 pages |  |
| Important Formulas: Differential Equations 6 pages |  |
| Important Questions: Differential Equations 4 pages |  |
| Mind Map: Differential Equations 2 pages |  |
| Flashcards : Differential Equations 30 cards |  |
Chapter 10 - Vectors
| NCERT Solutions: Exercise - Vector Algebra 6 pages |  |
| NCERT Textbook: Vector Algebra 39 pages |  |
| NCERT Exemplar: Vectors 8 pages |  |
| Introduction to Vectors 8 pages |  |
| Addition and Multiplication of a Vector by a Scalar 1 page |  |
| Important Formulas: Section Formula & Scalar Product of Two Vectors 4 pages |  |
| Product of Vectors 5 pages |  |
| Product of Four Vectors 1 page |  |
| Important Formulas: Vector 10 pages |  |
| Important Questions: Vectors 1 page |  |
| NCERT Solutions: Exercise - 10.3 - Vector Algebra 1 page |  |
| NCERT Solutions: Exercise - 10.2 - Vector Algebra 2 pages |  |
| NCERT Solutions: Exercise - 10.2 - Vector Algebra 10 pages |  |
| NCERT Solutions: Exercise - 10.4 - Vector Algebra 10 pages |  |
| NCERT Solutions Miscellaneous Exercise: Vector Algebra 17 pages |  |
| Flashcards: Vector Algebra 30 cards |  |
| Mind Map: Vector Algebra 1 page |  |
Chapter 11 - Three Dimensional Geometry
| NCERT Solutions: Three Dimensional Geometry 38 pages |  |
| NCERT Exemplar: Three Dimensional Geometry 24 pages |  |
| Basic Concepts of Three Dimensional Geometry 19 pages |  |
| Direction Cosines and Direction Ratios of a Line 4 pages |  |
| Equation of Straight Line 14 pages |  |
| Angle Between Two Intersecting Lines and Shortest Distance 3 pages |  |
| Area of a Triangle and Equation of a Plane 1 page |  |
| NCERT Textbook: Three Dimensional Geometry 17 pages |  |
| Important Formulas - 3D Geometry 6 pages |  |
| Important Questions: Three Dimensional Geometry 3 pages |  |
| NCERT Solutions: Exercise - 11.1 - Three Dimensional Geometry 5 pages |  |
| NCERT Solutions: Exercise - 11.2 - Three Dimensional Geometry 25 pages |  |
| NCERT Solutions Miscellaneous Exercise: Three Dimensional Geometry 30 pages |  |
| Mind Map: Straight Lines 1 page |  |
| Flashcards: Straight Lines 37 pages |  |
| Mind Map: Three Dimensional Geometry 2 pages |  |
| Flashcards: Three Dimensional Geometry 39 pages |  |
Chapter 12 - Linear Programming
| NCERT Textbook - Linear Programming 12 pages |  |
| NCERT Solutions - Linear Programming 31 pages |  |
| Linear Programming 9 pages |  |
| NCERT Exemplar - Linear Programming 23 pages |  |
| Important Questions: Linear Programming 4 pages |  |
| NCERT Solutions - Linear Programming 10 pages |  |
Chapter 13 - Probability
| NCERT Exemplar: Probability 16 pages |  |
| Conditional Probability and its Properties 2 pages |  |
| NCERT Textbook: Probability 33 pages |  |
| Independent Events and Their Important Properties 2 pages |  |
| Probability Distribution of a Random Variable 6 pages |  |
| Binomial Distribution 4 pages |  |
| NCERT Solutions - Exercise 13.1: Probability 7 pages |  |
| NCERT Exemplar: Probability- 2 20 pages |  |
| Important Questions: Probability 4 pages |  |
| NCERT Solutions - Exercise 13.1: Probability 22 pages |  |
| NCERT Solutions - Exercise 13.2: Probability 13 pages |  |
| NCERT Solutions - Exercise 13.3: Probability 15 pages |  |
| NCERT Solutions Miscellaneous Exercise: Probability 16 pages |  |
| Flashcards: Probability 30 cards |  |
| Mind Map: Probability 6 pages |  |
ICSE: Practice Questions
| Relations and Functions: Assertions & Reason Type Questions 8 pages |  |
RD Sharma Solutions
| RD Sharma Class 12 Solutions - Relations 76 pages |  |
| RD Sharma Class 12 Solutions - Functions 127 pages |  |
| RD Sharma Class 12 Solutions - Binary Operations 64 pages |  |
| RD Sharma Class 12 Solutions - Inverse Trigonometric Functions 198 pages |  |
| RD Sharma Class 12 Solutions - Algebra of Matrices 214 pages |  |
| RD Sharma Class 12 Solutions - Determinants 233 pages |  |
| RD Sharma Class 12 Solutions - Adjoint and Inverse of a Matrix 66 pages |  |
| RD Sharma Class 12 Solutions - Solution of Simultaneous Linear Equations 71 pages |  |
| RD Sharma Class 12 Solutions - Continuity 145 pages |  |
| RD Sharma Class 12 Solutions - Differentiability 47 pages |  |
| RD Sharma Class 12 Solutions - Differentiation - 1 159 pages |  |
| RD Sharma Class 12 Solutions - Differentiation - 2 129 pages |  |
| RD Sharma Class 12 Solutions - Higher Order Derivatives 85 pages |  |
| RD Sharma Class 12 Solutions - Derivative as a Rate Measurer 52 pages |  |
| RD Sharma Class 12 Solutions - Differentials, Errors and Approximations 54 pages |  |
| RD Sharma Class 12 Solutions - Mean Value Theorems 93 pages |  |
| RD Sharma Class 12 Solutions - Tangents and Normals 110 pages |  |
| RD Sharma Class 12 Solutions - Increasing and Decreasing Functions 69 pages |  |
| RD Sharma Class 12 Solutions - Maxima and Minima 100 pages |  |
| RD Sharma Class 12 Solutions - Indefinite Integrals - 1 142 pages |  |
| RD Sharma Class 12 Solutions - Indefinite Integrals - 2 135 pages |  |
| RD Sharma Class 12 Solutions - Indefinite Integrals - 3 168 pages |  |
| RD Sharma Class 12 Solutions - Indefinite Integrals - 4 126 pages |  |
| RD Sharma Class 12 Solutions - Definite Integrals - 1 153 pages |  |
| RD Sharma Class 12 Solutions - Definite Integrals - 2 170 pages |  |