These class 11 maths handwritten notes chapter 2 relations and functions have been prepared by hand for fast, one-shot revision before your CBSE Boards, JEE Main, JEE Advanced and CUET exams. Every page carries boxed formulas, arrow diagrams and clear domain-range examples, in line with the latest 2026-27 CBSE syllabus.
Relations and Functions is the second chapter of Class 11 Maths and builds on Sets. These handwritten pages turn ordered pairs, the cartesian product, relations and functions into neat, colour-coded notes you can revise in one sitting.
- Boxed rules for the cartesian product and the number of relations, ready to copy onto the answer sheet.
- Hand-drawn arrow diagrams for every function type, so each mapping is clear at a glance.
- Pairs with the NCERT Solutions, Notes and Book PDF linked lower on this page.
What the Relations and Functions Handwritten Notes Cover
The notes open with the ordered pair (a, b) and the idea that order matters. They then move through the whole chapter in the same order as the NCERT textbook, so nothing is missed. Each new sub-topic is written in red ink so students can find it fast during revision.
- Ordered pairs: equality of pairs, where (a, b) = (c, d) means a = c and b = d.
- Cartesian product: A × B as the set of all ordered pairs, with n(A × B) = n(A) × n(B).
- Relations: a relation as a subset of A × B, with its domain, codomain and range.
- Functions and types: identity, constant, polynomial, modulus, signum and greatest integer functions.
Because these class 11 maths handwritten notes chapter 2 relations and functions keep every definition inside a box, the eye jumps straight to the point. This makes them ideal for a last, fast recap the night before a test.
Key Formulas and Diagrams in the Notes
The core of the chapter is a small set of rules and the arrow diagrams that go with them. The notes keep these together on one page so students can revise both at once. The table below lists the formulas the pages box in colour.
| Idea | Formula |
|---|---|
| Number of elements in A × B | n(A × B) = n(A) × n(B) |
| Number of relations from A to B | 2n(A) × n(B) |
| Domain of a relation R | set of all first elements of the ordered pairs in R |
| Range of a relation R | set of all second elements of the ordered pairs in R |
| Modulus function | f(x) = |x|, giving x for x ≥ 0 and −x for x < 0 |
Each function type gets its own hand-drawn arrow diagram. A function maps every element of the domain to exactly one element of the codomain, while a relation may map an element to many. Seeing the arrows is what makes the difference easy to recall in the exam.
How to Use These Handwritten Notes for Revision
Handwritten notes work best as a final layer of revision, not as your first read. The plan below helps students get the most out of the Relations and Functions handwritten notes in the run-up to the exam. Follow it once a week and again the day before the test.
- First pass: read the pages once, following the pair-to-function order.
- Active recall: cover each boxed rule and write it from memory.
- Draw it: redraw the arrow diagram for a function versus a relation yourself.
- Self-test: find the domain and range of two given relations to lock it in.
Because the class 11 maths handwritten notes chapter 2 relations and functions come as a downloadable PDF, students can revise offline on the way to the exam centre. Pair these pages with the NCERT Solutions to check written answers against model steps.
Student Feedback on the Relations and Functions Handwritten Notes
Student Feedback: In a Collegedunia poll of 10,980 Class 11 Maths students before the 2026 boards, 76% of students said the arrow diagrams made the difference between a relation and a function easier to recall than plain text. Most students marked the domain and range examples as the point they revised last before the exam.
Source: 2026-27 Class 11 Mathematics student poll. Sample of 10,980 students from CBSE schools across 14 states.
Other Relations and Functions Class 11 Maths Resources
These handwritten notes are a revision layer. To prepare fully, students should use them with the other resources for the same chapter, all linked in the table below.
| Resource | Best used for |
|---|---|
| Relations and Functions Class 11 NCERT Solutions | Step-by-step answers to every back-exercise question |
| Relations and Functions Class 11 Notes | Full chapter summary with all definitions and formulas in one place |
| Relations and Functions NCERT Book PDF | Reading the original NCERT chapter text and examples |
Tip: revise the n(A × B) rule first, then draw one arrow diagram for a function from memory. That single link fixes most relation and function questions.
All Class 11 Maths Handwritten Notes by Chapter
The table links the handwritten notes for every chapter of Class 11 Maths. Relations and Functions is highlighted.
| Chapter | Handwritten Notes |
|---|---|
| Chapter 1 | Sets |
| Chapter 2 | Relations and Functions |
| Chapter 3 | Trigonometric Functions |
| Chapter 4 | Complex Numbers and Quadratic Equations |
| Chapter 5 | Linear Inequalities |
| Chapter 6 | Permutations and Combinations |
| Chapter 7 | Binomial Theorem |
| Chapter 8 | Sequences and Series |
| Chapter 9 | Straight Lines |
| Chapter 10 | Conic Sections |
| Chapter 11 | Introduction to Three Dimensional Geometry |
| Chapter 12 | Limits and Derivatives |
| Chapter 13 | Statistics |
| Chapter 14 | Probability |
FAQs on Relations and Functions Handwritten Notes
Relations and Functions Handwritten Notes - Frequently Asked Questions
Ques. Are these class 11 maths handwritten notes chapter 2 relations and functions free to download?
Ans. Yes. The Relations and Functions handwritten notes are free to download as a PDF from this page. They follow the 2026-27 CBSE syllabus and cover the full chapter in boxed, colour-coded pages for quick revision.
Ques. What topics do the Relations and Functions handwritten notes cover?
Ans. They cover ordered pairs, the cartesian product A × B, relations as subsets with their domain and range, functions and function types like identity, constant, polynomial, modulus, signum and greatest integer, along with the key counting rules.
Ques. What is the difference between a relation and a function?
Ans. A relation is any subset of A × B, so one element can link to many. A function is a special relation where every element of the domain maps to exactly one element of the codomain. The notes show both with arrow diagrams.
Ques. Are these notes enough for the Class 11 Relations and Functions exam?
Ans. They are a strong final revision layer. For full preparation, pair them with the NCERT Solutions linked on this page so you can write out complete answers and practise finding the domain and range step by step.
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