Home
Class 12
MATHS
Let R be the relation in the set {(1,2,3...

Let R be the relation in the set `{(1,2,3,4}` given by `R ={(1,2), (2,2), (1,1) (4,4),(1,3), (3,3), (3,2)}.` Choose the correct answer.

A

R is reflexive symmetric but not transitive.

B

R is reflexive and transitive but not symmetric.

C

R is symmetric and transitive but not reflexive.

D

R is an equivalence relation.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise EXERCISE 1.2|12 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise EXERCISE 1.3|14 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise Miscellaneous Exercise on chapter 10|19 Videos

Similar Questions

Explore conceptually related problems

R is a relation is defined on the set {1,2,3,4} as follow R={(1,2), (2,2), (1,1), (4,4), (1,3), (3,3), (3,2)} Then choose the coR Rect option of the following

Show that the relation R in the set {1,2,3} given by R = {(1,1) ,(2,2),(3,3) , (1,2) ., (2,3)} is reflexive but neither symmetric nor transitive.

Let A = {1,2,3,4} and R be a relation in A given by R = {(1,1) (2,2) (3,3) (4,4) (1,2) (2,1) (3,1) (1,3)} . Then R is

Let the relation R on set A = {1,2,3,4} be defined as follows: R={(1,2),(2,1),(2,2),(3,3),(4,1),(2,4),(4,2)} Then state which one is true in each of the following two cases viz

The relation R = {(1,1) ,(2,2) ,(4,4),(1,2),(1,3),(2,3)} on the set A= {1,2,3,4} is -

Let the relation R on set A = {1,2,3,4,5} be defined as follows: R={(1,2),(2,1),(2,2),(3,3),(4,1),(2,4),(4,2),(1,5),(5,1),(5,5)} Then state which one is true in each of the following two cases

Show that the relation R in the set {1,2,3} given by R = {(1,2), (2,1) is symmetric but neither reflexive nor transitive.

When is a relation R on a set A not antisymmetric? Let A={1,2,3,4} and R be a relation on A defined by R={(1,1), (2,2), (3,4), (3,3),(2,1), (4,3)}. Is R antisymmetric on A?

On set A={1,2,3}, relations R and S are given by R={(1,1),(2,2),(3,3),(1,2),(2,1)}, S={(1,1),(2,2),(3,3),(1,3),(3,1)}. Then

If R is a relation on the set A={1,2,3,4,5,6,7,8,9}"given by "xRyiffy=3x , then R =