Home
Class 12
MATHS
If A = {1,2,3,4} , define relations on A...

If `A = {1,2,3,4}` , define relations on A which have properties of being :
Reflexive , transitive but not symmetric

Text Solution

Verified by Experts

The correct Answer is:
It is not symmetric
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|20 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|5 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|19 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If A = {1,2,3,4} , define relations on A which have properties of being : Reflexive , symmetric and transitive .

If A = {1,2,3,4} , define relations on A which have properties of being : Symmetric but neither reflexive nor transitive

Knowledge Check

  • Let A = {1,2,3}. Then number of relations containing (1,2) and (1,3) which are reflexive and symmetric but not transitive is

    A
    1
    B
    2
    C
    3
    D
    4
  • B_2O_3 have which property ?

    A
    Acidic
    B
    Basic
    C
    Amphoteric
    D
    None
  • Similar Questions

    Explore conceptually related problems

    Give an example of relation . Which is Reflexive and transitive but not symmetric.

    Show that the relation R is R defined as R = {(a,b) : a le b} is reflexive and transitive but not symmetric.

    Let A = {1, 2, 3} Then show that the number of relations containing (1, 2) and (2, 3) which are reflexive and transitive but not symmetric is three.

    Give an example of relation . Which is Symmetric but neither reflexive nor transitive.

    Let R be a relation on the set N of natural numbers defined by n\ R\ m iff n divides mdot Then, R is (a) Reflexive and symmetric (b) Transitive and symmetric (c) Equivalence (d) Reflexive, transitive but not symmetric

    Give an example of relation . Which is Reflexive and symmetric but not transitive .