For the relation R={(1,2),(2,1),(1,1),(2,2)} on A={1,2,3}, which property does R satisfy?
Answer and explanation
Correct answer: It is symmetric
Option A is correct because whenever (a,b) belongs to R, the reverse pair (b,a) also belongs to R: both (1,2) and (2,1) are present, while diagonal pairs cause no problem. It is not reflexive because (3,3) is absent, not antisymmetric because both distinct pairs (1,2) and (2,1) occur, and not universal because several pairs involving 3 are missing.
Frequently asked questions
What is the correct answer to this question?
It is symmetric
Why is this the correct answer?
Option A is correct because whenever (a,b) belongs to R, the reverse pair (b,a) also belongs to R: both (1,2) and (2,1) are present, while diagonal pairs cause no problem. It is not reflexive because (3,3) is absent, not antisymmetric because both distinct pairs (1,2) and (2,1) occur, and not universal because several pairs involving 3 are missing.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Relations and Functions. Topic: Introduction to Relations.
