Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. Give an example of a relation. Which is Reflexive and symmetric but not transitive.
# NCERT

Q.10 Give an example of a relation.

(iii) Which is Reflexive and symmetric but not transitive.

Answers (1)
S seema garhwal

Let 

A = \left \{ 1,2,3 \right \}

Define a relation R on A as

R= \left \{ (1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2) \right \}

If   x\in A ,(x,x)\in R i.e.\left \{ (1,1),(2,2),(3,3)\right \} \in R. So it is reflexive.

If  x,y\in A  ,  (x,y)\in R   and  (y,x)\in R i.e.\left \{(1,2),(2,1),(2,3),(3,2) \right \}\in R. So it is symmetric.

(x,y)\in R  and (y,z)\in R  i.e. (1,2)\in R.  and (2,3)\in R 

But (1,3)\notin R So it is not transitive.

Hence, it  is Reflexive and symmetric but not transitive.

Similar Questions

Related Chapters

Preparation Products

Knockout NEET July 2020

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

₹ 15999/- ₹ 6999/-
Buy Now
Rank Booster NEET 2020

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

₹ 9999/- ₹ 4999/-
Buy Now
Knockout JEE Main July 2020

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

₹ 12999/- ₹ 6999/-
Buy Now
Test Series NEET July 2020

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

₹ 4999/- ₹ 2999/-
Buy Now
Knockout NEET May 2021

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

₹ 22999/- ₹ 11999/-
Buy Now
Exams
Articles
Questions