Relations — Syllabus
CBSE · Class 11 · Applied Mathematics
What Relations covers in CBSE Class 11 Applied Mathematics: 4 topics, for the 2026-27 session. Part of the CBSE Class 11 Applied Mathematics syllabus.
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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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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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