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2.Types of Sets & Set Operations
Class 11 • Mathematics • NCERT
Types of Sets & Set Operations
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This lesson explains different types of sets and basic set operations strictly as per NCERT Class 11. Students learn subsets, power sets, union, intersection, and difference using simple examples and exam-focused questions.
Lesson Objectives
- Understand different types of sets.
- Learn subsets and power sets.
- Understand union, intersection, and difference of sets.
- Apply concepts to NCERT-style questions.
1. Types of Sets (NCERT)
• Empty Set (∅): No elements
• Singleton Set: One element
• Finite Set: Limited elements
• Infinite Set: Unlimited elements
• Equal Sets: Same elements
• Subset: Every element of A is in B
• Singleton Set: One element
• Finite Set: Limited elements
• Infinite Set: Unlimited elements
• Equal Sets: Same elements
• Subset: Every element of A is in B
2. Subsets
A set A is a subset of set B if every element of A belongs to B.
If A = {1, 2} and B = {1, 2, 3}, then A ⊆ B
3. Power Set
The set of all subsets of a set A is called the power set.
If A = {a, b}, then P(A) = {∅, {a}, {b}, {a, b}}
4. Set Operations
Union (A ∪ B): All elements in A or B
Intersection (A ∩ B): Common elements
Difference (A − B): Elements in A but not in B
Intersection (A ∩ B): Common elements
Difference (A − B): Elements in A but not in B
Practice MCQs (NCERT)
- The empty set is denoted by ______.
- A set with one element is called ______.
- If A ⊆ B and B ⊆ A, then A and B are ______.
- The set of all subsets of a set is called ______.
- If A = {1,2}, number of elements in P(A) is ______.
- A ∪ B contains elements that are in ______.
- A ∩ B contains elements that are ______.
- If A = {1,2,3} and B = {3,4}, then A ∩ B = ______.
- The difference A − B means elements in ______.
- The set of natural numbers is ______.
✅ Show Answer Key
- ∅
- Singleton set
- Equal
- Power set
- 4
- A or B
- Common
- {3}
- A but not in B
- Infinite
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