Types Of Relations
Chapter Name : Relations And Functions |
Sub Topic Code : 104_12_01_02_01 |
Topic Name : Types Of Relations |
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Sub Topic Name : Types Of Relations |
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Introduction
Relations are classified into several parts on the basis of the relation that is between the elements in the ordered pair. It is classified into 6 parts Empty, Universal, reflexive, Symmetric, Transitive and Equivalence relation. Among all these relations Equivalence relation is most important, as it is combinations of reflexive, symmetric and transitive relation.
Pre-Requisites:
Sets, their representation and its types, Cartesian products and relations.
Activity:
Write 6 set of numbers each satisfying particular type of relation and plot them on the graph sheet.
Real Life Question:
Can a relation have its elements unrelated?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Relation | Set of ordered pairs. |
| Function | Special type of relation that gives exactly one output for an input. |
| Ordered Pair | A pair of element grouped together in a particular order. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Graph paper, pencil | To plot the points |
Real life uses :
Used to classify the relations so that they can be studied separately.
Practical examples around us
| Examples | Explainations |
|---|
What you learn in Theory:
What are the types of relations? How are they classified?