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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.

45 questions20 flashcards5 concepts

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Key Topics to Revise

1

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
2

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
3

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
4

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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Full Notes

Key Concepts

An ordered pair (aFor sets A and BA relation R from setEmpty relation (R = ∅)A relation that is reflexive

Frequently Asked Questions

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?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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