Home
Class 12
MATHS
Let R={(3,3),(6,6),(9,9),(12,12),(6,12),...

Let `R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9(,(3,12),(3,6)}` be relation on the set `A={3,6,9,12}`. The relation is-

A

an equivalence relation

B

reflexive and symmetric

C

reflexive and transitive

D

only reflexive

Text Solution

Verified by Experts

The correct Answer is:
C
R is reflexive as (3, 3), (6, 6), (9, 9), (12, 12) `in` R. R is not symmetric as (6, 12) `in` R but (12, 6) `!in` R. R is transitive as the only pair which needs verification is (3, 6) and (6, 12) `in` R.
`implies" "(3, 12)inR`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS) Types of Mapping|10 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS) Domain-Range, Odd-Even and Periodic Functions|11 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|30 Videos

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 31|1 Videos

  • SOLVED PAPER 2017

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

Let R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6)} be a relation on the set A={3,6,9,12} be a relation on the set A={3,6,9,12}. The relation is

Let R rArr{(2,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6)} be a relation on the set A=(3,6,9,12). Then relation is

Knowledge Check

  • If R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6)} be a relation on the set A={3,6,9,12} . The relation is

    A
    equivalence
    B
    reflexive and symmetric only
    C
    reflexive and transitive only
    D
    None of these

  • If R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6)} be a relation on the set A={3,6,9,12} . The relation is

    A
    equivalence
    B
    reflexive and symmetric only
    C
    reflexive and transitive only
    D
    None of these

  • Let R = {(3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6)} be a relation on the set A = {3,6,9,12} The relation is

    A
    an equivalence relation
    B
    reflexive and symmetric
    C
    reflexive and transitive
    D
    only reflexive

    • Similar Questions

    Explore conceptually related problems

    Let R={(3,3),(5,3),(9,9),(12,12),(5,12),(3,9),(3,12),(3,5)} be a relation on the set A={3,5,9,12} Then,R is

    Let R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6)} be a relation on the set A={3,6,9,12} . Then, the relation is

    Let R= {(3, 3),(6,6), (9,9), (12, 12),(6, 12),(3,9), (3, 12), (3, 6)} be a relation on the set A={3,6,9,12}. The relation is:

    Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12}. Then, the relation is

    Let R = {(3, 3), (6, 6), (9, 9), (6, 12), (3, 9), (3, 12), (3, 6)} is a relation on set A = {3, 6, 9, 12} then R is (a) reflexive (b) symmetric (c) transtive (d) none of these

    Home
    Profile