Chapter 3 of 12
Revision Notes
Set — Revision Notes
CBSE · Class 11 · Applied Mathematics
Set revision notes for CBSE Class 11 Applied Mathematics: 4 topics in quick points. Part of the CBSE Class 11 Applied Mathematics syllabus.
29 questions5 concepts
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Key Topics to Revise
1
Definition and Representation of Sets
- A set is a well-defined collection of distinct objects called elements or members
- Well-defined means we can clearly identify whether an object belongs to the set or not
- Elements are distinct - no repetition is allowed in a set
2
Types of Sets
- Empty Set (∅ or {}): Contains no elements, n(∅) = 0
- Singleton Set: Contains exactly one element
- Finite Set: Has definite number of elements that can be counted
3
Subsets and Set Relations
- A ⊆ B means every element of A is also in B
- A ⊂ B means A is a proper subset of B (A ⊆ B but A ≠ B)
- Every set is a subset of itself: A ⊆ A
4
Intervals as Subsets of Real Numbers
- Closed interval [a,b]: includes both endpoints a and b
- Open interval (a,b): excludes both endpoints a and b
- Semi-open intervals: [a,b) includes a, excludes b; (a,b] excludes a, includes b
Get complete notes with diagrams and examples
Full NotesKey Concepts
A set is a wellSets can be represented in twoEmpty/Null Set (∅)Union (A ∪ B)Pictorial representations of sets using circles
Frequently Asked Questions
What are the important topics in Set for CBSE Class 11 Applied Mathematics?
Key topics in Set include Definition and Representation of Sets, Types of Sets, Subsets and Set Relations, Intervals as Subsets of Real Numbers. Study these first, then practise questions on each for Class 11 exams.
How should I revise Set for Class 11 exams?
Learn the core ideas first, then work through the 29 practice questions on Set. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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