Commerce Exam > Commerce Videos > Mathematics (Maths) Class 11 > What are Relations ?
What are Relations ? Video Lecture | Mathematics (Maths) Class 11 - Commerce
|
75 videos|238 docs|91 tests
|
FAQs on What are Relations ? Video Lecture - Mathematics (Maths) Class 11 - Commerce
| 1. What is the definition of relations in mathematics? |  |
Ans. In mathematics, relations refer to the connections or associations between two sets of elements. It is a subset of the Cartesian product of two sets, where each element of the first set is related to one or more elements of the second set.
| 2. What are the different types of relations? | |
Ans. There are various types of relations in mathematics, including:
- Reflexive Relation: A relation where each element is related to itself.
- Symmetric Relation: A relation where if element A is related to element B, then element B is related to element A.
- Transitive Relation: A relation 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.
- Equivalence Relation: A relation that is reflexive, symmetric, and transitive.
- Partial Order Relation: A relation that is reflexive, antisymmetric, and transitive.
| 3. How can we represent relations? | |
Ans. Relations can be represented using various methods, including:
- Roster or Set Builder Form: Listing all the related pairs of elements.
- Arrow Diagram: Using arrows to represent the connections between elements.
- Matrix Form: Using a matrix to indicate the relation between elements, where 1 represents a connection and 0 represents no connection.
- Graph: Representing the relation using a graph, where nodes represent elements and edges represent connections.
| 4. What is the difference between a function and a relation? | |
Ans. While all functions are relations, not all relations are functions. The main difference lies in the number of outputs for each input. In a function, each input has a unique output, whereas in a relation, an input may have multiple outputs or even no output at all.
| 5. Can a relation be both symmetric and antisymmetric? | |
Ans. No, a relation cannot be both symmetric and antisymmetric at the same time. A symmetric relation implies that if element A is related to element B, then element B is also related to element A. On the other hand, an antisymmetric relation implies that if element A is related to element B and element B is related to element A, then A and B must be the same element. Therefore, a relation cannot satisfy both conditions simultaneously.
About this Video
|
2.2K Views |
|
4.68/5 Rating |
|
Dec 18, 2024 Last updated |
Video Description: What are Relations ? for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation.
The notes and questions for What are Relations ? have been prepared according to the Commerce exam syllabus.
Information about What are Relations ? covers all important topics for Commerce 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for What are Relations ?.
Introduction of What are Relations ? in English is available as part of our Mathematics (Maths) Class 11 for Commerce & What are Relations ? in
Hindi for Mathematics (Maths) Class 11 course. Download more important topics related with notes, lectures and mock test series for
Commerce Exam by signing up for free.
Description
Video Lecture & Questions for What are Relations ? Video Lecture | Mathematics (Maths) Class 11 - Commerce - Commerce full syllabus preparation | Free video for Commerce exam to prepare for Mathematics (Maths) Class 11.
Information about What are Relations ?
Here you can find the meaning of What are Relations ? defined & explained in the simplest way possible.
Besides explaining types of What are Relations ? theory, EduRev gives you an ample number of questions to practice What are Relations ? tests,
examples and also practice Commerce tests.
|
75 videos|238 docs|91 tests
|
Video Timeline
|
Explore Courses for Commerce exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
MCQs
,Viva Questions
,shortcuts and tricks
,Sample Paper
,What are Relations ? Video Lecture | Mathematics (Maths) Class 11 - Commerce
,Objective type Questions
,mock tests for examination
,Semester Notes
,practice quizzes
,Free
,What are Relations ? Video Lecture | Mathematics (Maths) Class 11 - Commerce
,Summary
,video lectures
,Important questions
,Previous Year Questions with Solutions
,ppt
,What are Relations ? Video Lecture | Mathematics (Maths) Class 11 - Commerce
,Extra Questions
,Exam
,past year papers
,study material
;
Study What are Relations ? on the App
Students of Commerce can study What are Relations ? alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the What are Relations ?,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of What are Relations ? is prepared as per the latest Commerce syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup