Home
Class 12
MATHS
State the reason for the relation R on t...

State the reason for the relation `R` on the set {1, 2, 3} given by `R={(1,\ 2),\ (2,\ 1)}` not to be transitive.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|449 Videos

  • SCALAR OR DOT PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|233 Videos

Similar Questions

Explore conceptually related problems

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

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

If R is a relation on the set A={1,2,3} given by R={(1,1),(1,2),(2,1)} , then R is

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.

If R is a reation on the set A={1,2,3} given by R={(1,1),(2,2)(1,3)} then R is

lf a relation R on the set {1, 2, 3} be defined by R ={(1,2)} , then R is:

If R is a relation on the set A={1,2,3} given by R={(1,1),(2,2),(3,3)} , then R is

If R is a relation on the set A={1,2,3} defined by R={(1,2)} , then R is

Show that the relation R on the set A={1,\ 2,\ 3} given by 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.

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7} and if R={(x ,\ y): y is one half of x ;...

    Text Solution

    |

  2. Let A={2,\ 3,\ 4,\ 5} and B={1,3,\ 4} . If R is the relation from A to...

    Text Solution

    |

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

    Text Solution

    |

  4. Let R={(a ,\ a^3): a is a prime number less than 5} be a relation. Fin...

    Text Solution

    |

  5. Let R be the relation in the set Z of integers given by R={(a,b):2 div...

    Text Solution

    |

  6. For the set A={1,\ 2,\ 3} , define a relation R on the set A as follow...

    Text Solution

    |

  7. Let A={0,\ 1,\ 2,\ 3} and R be a relation on A defined as R={(0,\ 0),\...

    Text Solution

    |

  8. If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^...

    Text Solution

    |

  9. Let the relation R be defined in N by aRb, if 2a + 3b = 30. Then R = …...

    Text Solution

    |

  10. Write the smallest equivalence relation on the set A={1,\ 2,\ 3} .

    Text Solution

    |

  11. Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}do...

    Text Solution

    |

  12. Which of the following is not an equivalence relation on Z ? a\ R\ b...

    Text Solution

    |

  13. R is a relation on the set Z of integers and it is given by (x ,\ y) i...

    Text Solution

    |

  14. Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the ...

    Text Solution

    |

  15. Let R be the relation over the set of all straight lines in a plane ...

    Text Solution

    |

  16. If A={a ,\ b ,\ c} , then the relation R={(b ,\ c)} on A is (a) reflex...

    Text Solution

    |

  17. Let A={2,\ 3,\ 4,\ 5,\ .......\ 17 ,\ 18} . Let ' ' be the equivalenc...

    Text Solution

    |

  18. LetA = {1, 2, 3}Then number of relations containing (1, 2) a n d (1, 3...

    Text Solution

    |

  19. The relation ' R ' in NxxN such that (a ,\ b)\ R\ (c ,\ d)hArra+d=b+c ...

    Text Solution

    |

  20. If A={1,\ 2,\ 3},\ \ B={1,\ 4,\ 6,\ 9} and R is a relation from A to B...

    Text Solution

    |