Relations
CBSE · Class 11 · Applied Mathematics
Complete topic list for Relations in CBSE Class 11 Applied Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
Topics in Relations
Ordered Pairs and Cartesian Products
- An ordered pair (a,b) has a specific order where 'a' is the first element and 'b' is the second element
- Two ordered pairs (a,b) and (c,d) are equal if and only if a = c and b = d
- The order matters: (a,b) ≠ (b,a) unless a = b
Relations and Their Properties
- A relation R from set A to set B is a subset of A × B
- If (a,b) ∈ R, we write aRb (a is R-related to b)
- Domain of R = set of all first elements of ordered pairs in R
Types of Relations
- Empty Relation: R = ∅ (no element of A is related to any element)
- Universal Relation: R = A × A (every element is related to every element)
- Reflexive: (a,a) ∈ R for all a ∈ A
Functions
- Function is a special relation where each element in domain has exactly one image
- f: A → B means f is a function from A to B
- Domain of function = set A
Key Concepts
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What are the important topics in Relations for CBSE Class 11 Applied Mathematics?
Relations covers several key topics that are frequently asked in CBSE Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Relations — CBSE Class 11 Applied Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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