Home
Class 12
MATHS
The relation R = {(1,1),(2,2),(3,3)} on ...

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

A

symmetric only

B

reflexive only

C

an equivalence relation

D

`transitive` only

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly, R is the identify relation on set {1, 2, 3} and the identity relation is always an equivalence relation. Hence, R is an equivalence relation.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|6 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Exercise|38 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • AREAS OF BOUNDED REGIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

Similar Questions

Explore conceptually related problems

The relation R={(1,\ 1),\ (2,\ 2),\ (3,\ 3)} on the set {1, 2, 3} is (a) symmetric only (b) reflexive only (c) an equivalence relation (d) transitive only

Given the relation R={(1,2),(2,3)} on the set A={1,2,3} , the minimum number of ordered pairs which when added to R make it an equivalence relation is

Knowledge Check

  • The relation R={(2,3),(1,1),(1,3),(3,1)} on the set A=(1,2,3) is______

    A
    Reflexive only
    B
    symmetric
    C
    transitive
    D
    Both b and c

  • Given the relation R = {(1,2),(2,3)} on the set A = {1,2,3} the minimum number of ordered pairs which when added to R make it an equivalence relation is

    A
    5
    B
    6
    C
    7
    D
    8

  • Given that relation R= {(1,2,), (2,3)} on the set {1,2,3}, the minimum number of ordered pairs which when added to R make it an equivalence relation is

    A
    5
    B
    6
    C
    7
    D
    8

    • Similar Questions

    Explore conceptually related problems

    Given the relation R={(1,2),(2,3)} on the set A={1,2,3}, add a minimum number of ordered pairs so that the enlarged relation is symmetric,transitive and reflexive.

    Given the relation R={(1,2) (2,3)} on the set A={(1,2,3)} the minimum number of ordered pairs which when added to R make it an equivalence relation is

    Given to relation R={(1,2),(2,3)} on the set A={1,2,3}, add a minimum number of ordered pairs so that the enlarged relation is symmetric,transitive and reflexive.

    Given the relation R={(1,2),(2,3) on the set A={1,2,3}, add a minimum number of ordered pairs so that the enlarged relation is symmetric,transitive and reflexive.

    Given the relation R={(1,2),(2,3)} on the set {1,2,3) , the minimum number of ordered pairs which when added to R make it an equivalence relation is

    Home
    Profile