Sets
Uttar Pradesh Board · Class 11 · Mathematics
Complete topic list for Sets in Uttar Pradesh Board Class 11 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Sets
Basic Concepts and Definitions
- A set is a well-defined collection of distinct objects called elements or members
- Sets are denoted by capital letters (A, B, C, etc.) and elements by small letters (a, b, c, etc.)
- The symbol ∈ means 'belongs to' and ∉ means 'does not belong to'
Types of Sets
- Empty/Null/Void Set (∅): Contains no elements
- Singleton Set: Contains exactly one element
- Finite Set: Contains a definite number of elements
Subsets and Power Sets
- A ⊆ B means every element of A is also in B
- Every set is a subset of itself: A ⊆ A
- Empty set is subset of every set: ∅ ⊆ A
Set Operations - Union and Intersection
- Union (A ∪ B): Set of elements in A or B or both
- Intersection (A ∩ B): Set of elements common to both A and B
- Disjoint sets: A ∩ B = ∅
Key Concepts
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