Home
Class 12
MATHS
Define a transitive relation....

Define a transitive relation.

Text Solution

Verified by Experts

The correct Answer is:
`(a,b) in R` ,`(b,c) in R`,`(a,c) in R` all 3 condition holds
A Relation is said to be transitive
`forall a,b,c in R`
if`(a,b) in R` and `(b,c) in R`
then `EE (a,c) in R`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|422 Videos

  • SCALAR OR DOT PRODUCT

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

Similar Questions

Explore conceptually related problems

If R and S are transitive relations on a set A then prove that R uu S may not be a transitive relation on A.

If R and S are transitive relations on a set A then prove that R uu S may not be a transitive relation on A.

Explain the following (i)Reflexive Relaton (ii) symmetric Relation (ii) Anti- symmetaic relation (iv) transitive relation

Let M be the set of men and R is a relation is son of defined on M.Then,R is ( a) an equivalence relation (b) a symmetric relation (c) a transitive relation (d) None of these

Define a reflexive relation.

Definition of Transitive relation

If a relation R in N defined as R =((a ,b):a (A) Only transitive relation. (B) Only symmetric relation. (C) Only reflexive relation. (D) Transitive and symmetric relation.

Let M be the set of men and R is a relation 'is son of defined on M.Then,R is (a) an equivalence relation (b) a symmetric relation only (c) a transitive relation only (d) None of the above

Explain transitive relation with suitable examples.

Define a symmetric relation.

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Define a reflexive relation.

    Text Solution

    |

  2. Define a symmetric relation.

    Text Solution

    |

  3. Define a transitive relation.

    Text Solution

    |

  4. Define an equivalence relation.

    Text Solution

    |

  5. If A={3,\ 5,\ 7} and B={2,\ 4,\ 9} and R is a relation given by is les...

    Text Solution

    |

  6. A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7} and if R={(x ,\ y): y is one half of x ;...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |