Home
Class 12
MATHS
Let A = {1, 2, 3}, then number of relati...

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 .

A

16

B

2

C

3

D

4

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION II) (SHORT ANSWER TYPE QUESTIONS)|6 Videos
  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION III) |7 Videos
  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION V) |9 Videos
  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

Let A = {1, 2, 3} Then number of equivalence relations containing (1, 2) is:

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.

Knowledge Check

  • Let A = {1, 2, 3}. Then number of equivalence relations containing (1, 2) is

    A
    1
    B
    2
    C
    3
    D
    4
  • Let A = {1,2, 3}. Then number of equivalence relations containing (1,2) is:

    A
    1
    B
    2
    C
    3
    D
    4
  • Let A = {1,2, 3}. Then number of equivalence relations containing (1,2) is:

    A
    1
    B
    2
    C
    3
    D
    4
  • Similar Questions

    Explore conceptually related problems

    Let A = {1,2,3}. Then show that the nmber of relations (1,2) and (2,3), whch are reflexive and transitive but not symmetric, is four.

    Let A = {1, 2}, B= {3, 4}, then the number of relations from A to B will be:

    Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

    Check whether the relation R in R, defined by R= {(a, b): a le b^3 ) is reflexive, symmetric or transitive ?

    Let A = {1, 2, 3}, then the number of equivalence relations containing (1,2) is (a) 1 (b) 2 (c) 3 (d) 4 .