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Set Language — Syllabus

Tamil Nadu Board · Class 9 · Mathematics

What Set Language covers in Tamil Nadu Board Class 9 Mathematics: 4 topics, for the 2026-27 session. Topics include Basic Concepts of Sets, Representation.

45 questions26 flashcards5 concepts

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A Venn diagram illustrating the relationship between a set A and a set B where A is a subset of B, and specifically, a proper subset of B.
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4 Topics · Tamil Nadu Board Class 9 Mathematics · 2026-27

Topics in Set Language

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1. Basic Concepts of Sets

  • A set is a well-defined collection of objects. 'Well-defined' means we can clearly decide whether any object belongs to the collection or not.
  • Objects in a set are called members or elements.
  • Sets are denoted by capital letters: A, B, P, Q, X, Y, etc.
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2. Representation of Sets

  • There are THREE ways to represent a set: Descriptive Form, Set Builder Form, and Roster (Tabular) Form.
  • DESCRIPTIVE FORM: Describe the set in words. Example: 'The set of all vowels in English alphabets.'
  • SET BUILDER FORM: All elements are described by a rule. Example: A = {x : x is a vowel in English alphabets} or A = {x | x is a vowel in English alphabets}. The symbol ':' or '|' means 'such that'.
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3. Types of Sets

  • EMPTY SET (Null Set / Void Set): A set with NO elements. Denoted by ∅ or {}. Example: Set of odd numbers divisible by 2 = ∅.
  • SINGLETON SET: A set with exactly ONE element. Example: {x : x is an even prime number} = {2}.
  • FINITE SET: A set with a countable, limited number of elements. Example: Set of days in a week = {Mon, Tue, Wed, Thu, Fri, Sat, Sun}.
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4. Set Operations

  • COMPLEMENT A' (or Aᶜ): All elements in Universal set U that are NOT in A. A' = {x : x ∈ U, x ∉ A}.
  • Key complement properties: (A')' = A; U' = ∅; ∅' = U.
  • UNION A ∪ B: Set of all elements in A OR B OR BOTH. A ∪ B = {x : x ∈ A or x ∈ B}.

Key Concepts

A set is a wellSets can be represented in threeEmpty Set (∅)A subset A ⊆ B ifThe power set P(A) is

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Frequently Asked Questions

What are the important topics in Set Language for Tamil Nadu Board Class 9 Mathematics?
Key topics in Set Language include Basic Concepts of Sets, Representation of Sets, Types of Sets, Set Operations. Study these first, then practise questions on each for Class 9 exams.
How should I revise Set Language for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Set Language. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Tamil Nadu Board Class 9 Mathematics Syllabus

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