Relations
CBSE · Class 11 · Applied Mathematics
Quick revision notes for Relations — CBSE Class 11 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
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
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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.
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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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