Home
Class 12
MATHS
State the reason for the relation R, in ...

State the reason for the relation R, in the set {1,2,3} given by R= {(1,2), (2, 1), not to be 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

The relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is not symmetric.

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

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

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

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

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.

A relation R on A={1,2,3} given by R={1,2), (1, 2), (3, 3)} is not symmetric. Why?

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. For the set A = (1,2,3) define a relation R on the set A as follows: ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. In order that a relation R defined on a non-empty set A is an equivale...

    Text Solution

    |

  17. If f(x) = (x -2)/(x-3), x ne 3, Examine whether f(x) is invertible or ...

    Text Solution

    |

  18. In order that a relation R defined on a non-empty set A is an equivale...

    Text Solution

    |

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

    Text Solution

    |

  20. What is the range of the signum function?

    Text Solution

    |