Home
Class 12
MATHS
Let A = {0, 1, 2, 3} and define a relati...

Let A = {0, 1, 2, 3} and define a relation R on A as follows :
`R = {(0,0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}`
Is R reflexive ? symmetric ? transitive ?

A

Reflexive

B

Symmetric

C

Transitive

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SAMPLE QUESTION PAPER-VIII

    ACCURATE PUBLICATION|Exercise SECTION-B|8 Videos
  • SAMPLE QUESTION PAPER-VIII

    ACCURATE PUBLICATION|Exercise SECTION-C|8 Videos
  • SAMPLE QUESTION PAPER-VII

    ACCURATE PUBLICATION|Exercise SECTION-D|6 Videos
  • SAMPLE QUESTION PAPER-X (UNSOLVED)

    ACCURATE PUBLICATION|Exercise SECTION-D|6 Videos

Similar Questions

Explore conceptually related problems

Let A = (0,1,2,3) and define a relation R on A as follows R = (0,0),(0,1),(0,3),(1,0),(1,1),(2,2),(3,0), Is R reflexive? Symmetric ? Transitive?

If A = {1,2,3} and R = { (1,1}, ( 2,2), (3,3)} then R is reflexive, symmetric or transitive?

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, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive, but neither symmetric nor transitive.

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

Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2) then (a)R is reflexive and symmetric but not transitive (b)R is reflexive and transitive but not symmetric (c)R is symmetric and transitive but not reflexive (d)R is an equivalence relation

If P = {:[(0,1,0),(0,2,1),(2,3,0)], Q = [(1,2),(3,0),(4,1)] , find PQ.