Mastering 12th Maths Chapter 1: Relations and Functions (Tamil Medium)
Build strong foundations with Chapter 1 of your 12th standard Tamil Medium Mathematics. This complete guide covers all concepts of Relations and Functions with solved examples, important formulas, and exam preparation tips for 2024.
📚 Chapter 1 Study Resources
Relations and Functions Formulas
Complete formula sheet covering types of relations, functions, composition, and invertibility with Tamil explanations
Important Problems (2024)
100+ curated problems covering equivalence relations, bijective functions, and inverse trigonometric functions
Visual Representations
Arrow diagrams, graphs, and mapping diagrams for better understanding
Download Chapter 1 Resource Kit
Download Full PackageIncludes: Formula Handbook | Solved PYQs | 15 Practice Worksheets
🌟 Chapter 1 Core Concepts
- Types of Relations (Reflexive, Symmetric, Transitive)
- Types of Functions (One-one, Onto, Bijective)
- Composition of Functions
- Invertible Functions
- Binary Operations
- Inverse Trigonometric Functions
🔍 Relations and Functions at a Glance
| Concept | Definition | Example |
|---|---|---|
| Equivalence Relation | Reflexive + Symmetric + Transitive | Congruence modulo n |
| Bijective Function | Both one-one and onto | f(x) = x³ |
| Invertible Function | Bijective + f⁻¹ exists | f(x) = 2x+3 |
| Binary Operation | Operation on set A: A×A→A | Addition on real numbers |
💡 Expert Problem-Solving Techniques
Relation Properties
Master the three-step verification for reflexivity, symmetry and transitivity
Function Types
Use horizontal/vertical line tests and algebraic methods to determine function types
Inverse Functions
Learn the step-by-step method to find inverses of bijective functions
📝 Chapter 1 Exam Strategy
Weightage: 15-18 marks in board exams. Focus areas:
- 6 mark proofs (relation properties, function types)
- 5 mark problems (composition, inverses)
- 4 mark definitions (binary operations)
- 3 mark quick problems (domain/range)
🔍 Sample Study Material
Need Help with Relations and Functions?
Ask your questions about equivalence relations, bijective functions, or any Chapter 1 concepts in the comments below!