Mathematics Exam  >  Mathematics Videos  >  Algebra  >  Introduction to Relations

Introduction to Relations Video Lecture | Algebra - Mathematics

161 videos|58 docs

FAQs on Introduction to Relations Video Lecture - Algebra - Mathematics

1. What is a relation in mathematics?
Ans. In mathematics, a relation is a connection or association between sets of elements from different sets. It is represented by a set of ordered pairs, where each ordered pair consists of one element from each set.
2. What is the difference between a relation and a function?
Ans. While both a relation and a function are mathematical concepts that describe associations between sets, the main difference lies in the uniqueness of the association. A relation can have multiple outputs for a given input, whereas a function ensures that each input has only one corresponding output.
3. How can relations be represented graphically?
Ans. Relations can be represented graphically using a coordinate plane. The elements from the first set are plotted on the x-axis, while the elements from the second set are plotted on the y-axis. Each ordered pair is then represented as a point on the graph.
4. What are the different types of relations?
Ans. There are several types of relations in mathematics, including: - Reflexive Relations: Relations where every element is related to itself. - Symmetric Relations: Relations where if element A is related to element B, then element B is related to element A. - Transitive Relations: Relations where if element A is related to element B and element B is related to element C, then element A is related to element C.
5. How can the properties of relations be determined?
Ans. The properties of relations can be determined by analyzing the set of ordered pairs that represent the relation. For example, to check if a relation is reflexive, we need to verify if every element in the set is related to itself. To check if it is symmetric, we need to ensure that for every pair (a, b), the pair (b, a) also exists in the relation. Similarly, to check transitivity, we need to examine if for every pair (a, b) and (b, c), the pair (a, c) is also present in the relation.
161 videos|58 docs
Explore Courses for Mathematics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Free

,

video lectures

,

study material

,

Extra Questions

,

ppt

,

shortcuts and tricks

,

Exam

,

Introduction to Relations Video Lecture | Algebra - Mathematics

,

MCQs

,

Viva Questions

,

Introduction to Relations Video Lecture | Algebra - Mathematics

,

mock tests for examination

,

Semester Notes

,

pdf

,

Summary

,

Previous Year Questions with Solutions

,

Sample Paper

,

past year papers

,

Introduction to Relations Video Lecture | Algebra - Mathematics

,

practice quizzes

,

Objective type Questions

,

Important questions

;