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

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

Text Solution

Verified by Experts

The correct Answer is:
1
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATION AND FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-II|8 Videos

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -D )|6 Videos

  • SAMPLE QUESTION PAPER - I

    ACCURATE PUBLICATION|Exercise Section - D|6 Videos

Similar Questions

Explore conceptually related problems

Given set A = {1,2,3}, then the relation : R = {(1,1),(2,2),(3,3)} is reflexive. (True/False)

Is the relation R = (1,1), (2,2), (3,3) transitive on the set A = (1,2,3)?

Knowledge Check

  • If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

    A
    reflexive
    B
    transitive
    C
    symmetric
    D
    none of these

  • If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

    A
    reflexive
    B
    transitive
    C
    symmetric
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    The relation R on the set A = {1, 2, 3} defined as R = {(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

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

    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.

    The relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is not symmetric.

    Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : reflexive and symmetric but not transitive.

    Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : reflexive and transitive but not symmetric.

    Home
    Profile