What is the difference between Reflexive and Identity Relation

Answers (1)
An identity relation on a set 'A' is the set of ordered pairs (a, a), where 'a' belongs to set 'A'. For example, suppose A={1,2,3}, then the set of ordered pairs {(1,1), (2,2), (3,3)} is the identity relation on set 'A'. Any relation 'R' on a set 'A' is said to be reflexive if (a, a) belongs to 'R', for every 'a' belongs to set 'A'. For example, suppose A={1, 2, 3}, then a relation 'R' defined by R={(1,1), (2,2), (3,3), (1,3), (3,2)} is a reflexive relation. There can be MANY reflexive relations defined on a set. But, an identity relation on any set is UNIQUE.

Preparation Products

Knockout JEE Main April 2021 (One Month)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 14000/- ₹ 6999/-
Buy Now
Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Test Series JEE Main April 2021

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 6999/- ₹ 4999/-
Buy Now
Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions