Which relation is reflexive on A={1,2,3}?
Answer and explanation
Correct answer: {(1,1),(2,2),(3,3),(1,2)}
Option A is correct. Reflexivity requires every element of A to be related to itself, so the three diagonal pairs (1,1), (2,2), and (3,3) must all be present. Option A contains all three, and any additional pair such as (1,2) is allowed. Option B lacks (3,3), option C lacks all diagonal pairs, and option D lacks (2,2); therefore none of them is reflexive on the whole set.
Frequently asked questions
What is the correct answer to this question?
{(1,1),(2,2),(3,3),(1,2)}
Why is this the correct answer?
Option A is correct. Reflexivity requires every element of A to be related to itself, so the three diagonal pairs (1,1), (2,2), and (3,3) must all be present. Option A contains all three, and any additional pair such as (1,2) is allowed. Option B lacks (3,3), option C lacks all diagonal pairs, and option D lacks (2,2); therefore none of them is reflexive on the whole set.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Relations and Functions. Topic: Introduction to Relations.
