Sets, Relations and Functions — Class 11 Mathematics (Samacheer Kalvi)
TN State Board (Samacheer Kalvi) Class 11 Mathematics, Chapter 1. Sets, Cartesian products, relations and function types.
1. About this chapter
This chapter covers Sets, Relations and Functions as part of the Class 11 Samacheer Kalvi Mathematics curriculum. It deals with sets, cartesian products, relations and function types and builds conceptual understanding essential for the TN HSC Public Exam.
By the end of this chapter, students will be able to:
- Perform set operations
- Define and classify relations
- Identify injective, surjective and bijective functions
2. Key concepts
- Concept 1: Perform set operations.
- Concept 2: Define and classify relations.
- Concept 3: Identify injective, surjective and bijective functions.
3. Important terms and formulas
| Term / Formula | Description |
|---|---|
| Perform set operations… | Perform set operations |
| Define and classify relations… | Define and classify relations |
| Identify injective, surjective and… | Identify injective, surjective and bijective functions |
4. Worked examples
Example 1. Applying a key concept from this chapter.
Solution: Identify the relevant principle → apply the formula or rule → state the answer with correct units.
Example 2. A typical exam-style question on sets, relations and functions.
Solution: Break the problem into steps, use the appropriate formula and verify the answer.
5. Common mistakes
- Mistake: Skipping units or forgetting to state them. Fix: Always write units alongside every quantity and answer.
- Mistake: Confusing similar terms or concepts in this chapter. Fix: Make a comparison table of the terms during revision.
6. Practice (exam-style)
- Define the main term or principle covered in Chapter 1.
- Give two real-life examples related to sets, relations and functions.
- Solve a short numerical or descriptive question from this chapter.
- State one important formula and explain each symbol.
7. Answer key (hints)
- Refer to section 2 (Key concepts) above for the definition.
- Examples should be drawn from daily experience and local context.
- Apply the formula from section 3, show all steps clearly.
- Formula with units — refer to the textbook glossary for symbol meanings.
8. Quick revision
- Class 11 Mathematics — Chapter 1: Sets, Relations and Functions.
- Core idea: Sets, Cartesian products, relations and function types.
- Key outcomes: Perform set operations; Define and classify relations; Identify injective, surjective and bijective functions.
- Always revise diagrams / tables from the Samacheer Kalvi textbook before the exam.
