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 ?

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos
  • PROBABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|467 Videos
  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 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.

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let A = (1,2,3). For x,y in A, let x R y iff x < y. Write down R as a ...

    Text Solution

    |

  2. Write the smallest reflexive relation on the set A = (a,b)

    Text Solution

    |

  3. Let A = {0, 1, 2, 3} and define a relation R on A as follows : R = {...

    Text Solution

    |

  4. Let A = {0, 1, 2, 3} and define a relation R on A as follows : R = {...

    Text Solution

    |

  5. Let A = {0, 1, 2, 3} and define a relation R on A as follows : R = {...

    Text Solution

    |

  6. For the set A = (1,2,3) define a relation R on the set A as follows: ...

    Text Solution

    |

  7. Write the number of symmetric relations that can be defined on the set...

    Text Solution

    |

  8. State the reason for the relation R, in the set {1,2,3} given by R= {(...

    Text Solution

    |

  9. If R={(x,y):x+2y=8} is a relation on N write the range of R

    Text Solution

    |

  10. If R = (x,y) , xy = 12 is a relation on N, write the domain of R.

    Text Solution

    |

  11. Show that -a is not the inverse of a in N for the addition operati...

    Text Solution

    |

  12. Let R be a relation from a set A to a set B, then:

    Text Solution

    |

  13. What is the set builder form of the set {1,2,3}.

    Text Solution

    |

  14. The number of relations that can be defined on the set {x,y,z} is:

    Text Solution

    |

  15. A vertical line meets the graph of a function in:

    Text Solution

    |

  16. If f = (1.4), (2,5), (3,5) and g = (4,6),(5,6) be two function then fi...

    Text Solution

    |

  17. The number of bijective functions from the set A to itsef, if A contai...

    Text Solution

    |

  18. What is the domain of the function f(X) = (1)/(x-1)?

    Text Solution

    |

  19. if 'f' is the function form R to R defined by the rule f(x) = x^2 - 3 ...

    Text Solution

    |

  20. Consider the function f(x) = x^2 defined on R. find the set f^-1 (1,-1...

    Text Solution

    |