Home
Class 12
MATHS
Consider the set A = {1, 2, 3} and R be ...

Consider the set A = {1, 2, 3} and R be the smallest equivalence relation on A, then R = ................. .

Text Solution

Verified by Experts

The correct Answer is:
`R={(1,1),(2,2),(3,3)}`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SAMPLE QUESTION PAPER - II (UNSOLVED)

    ACCURATE PUBLICATION|Exercise Section - A (State true or false for the following statements) |8 Videos

  • SAMPLE QUESTION PAPER - II (UNSOLVED)

    ACCURATE PUBLICATION|Exercise Section - B|8 Videos

  • SAMPLE QUESTION PAPER - II (UNSOLVED)

    ACCURATE PUBLICATION|Exercise Section - D|6 Videos

  • SAMPLE QUESTION PAPER - I

    ACCURATE PUBLICATION|Exercise Section - D|6 Videos

  • SAMPLE QUESTION PAPER-I

    ACCURATE PUBLICATION|Exercise SECTION-D|6 Videos

Similar Questions

Explore conceptually related problems

Consider the set A = (a,b). The smallest equivalence relation that can be defined on A is

The smallest equivalence relation R on set A ={1,2,8} is=

Knowledge Check

  • A relation R on a set A is called an equivalence relation iff

    A
    it is reflexive
    B
    it is symmetric
    C
    it is transitive
    D
    it is reflective, symmetric and transitive

  • The maximum number of equivalence relations on the set A = {1, 2, 3} are

    A
    1
    B
    2
    C
    3
    D
    5

  • The maximum number of equivalence relations on the set A = {1, 2, 3} are

    A
    1
    B
    2
    C
    3
    D
    5

    • Similar Questions

    Explore conceptually related problems

    If relation R defined on set A is an equivalence relation, then R is

    Consider the set A = {1, 2, 3} and the relation R = {(1, 2), (1, 3)}. R is a transitive relation.

    Fill in the blank: Consider the set A = (0,1,2) and let R = (0,1), (1,0) be the relation on A, then R is a _________ relation on A.

    Consider the set A=(a,b,c). Give an example of a relation R on A which is an equivalent relation.

    Show that the relation R defined in the set A of all polygons as R = {(P1, P2) : P1 and P2 have same number of sides} , is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3, 4 and 5?

    Home
    Profile