Home
Class 12
MATHS
Let A={1,\ 2,\ 3} . Then, show that the ...

Let `A={1,\ 2,\ 3}` . Then, show that the number of relations containing (1, 2) and (2, 3) which are reflexive and transitive but not symmetric is three.

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

Let A = {1, 2, 3} Then number of relations containing (1, 2)" and "(1, 3) which are reflexive and symmetric but not transitive is (A) 1 (B) 2 (C) 3 (D) 4

Let A = {1, 2, 3} Then number of relations containing (1, 2) a n d (1, 3) which are reflexive and symmetric but not transitive is (A) 1 (B) 2 (C) 3 (D) 4

Give an example of a relation which is reflexive and transitive but not symmetric.

Let A = {1, 2, 3} . Then number of equivalence relations containing (1, 2) is (A) 1 (B) 2 (C) 3 (D) 4

Let A = {1, 2, 3} . Then number of equivalence relations containing (1, 2) is (A) 1 (B) 2 (C) 3 (D) 4

Show that the relation R on R defined as R={(a ,\ b): alt=b} , is reflexive and transitive but not symmetric.

Show that the number of equivalence relation in the set {1, 2, 3} containing (1, 2) and (2, 1) is two.

Show that the number of equivalence relations on the set {1, 2, 3} containing (1, 2) and (2, 1) is two.

Show that the relation R in R defined as R={(a ,b): alt=b} , is reflexive and transitive but not symmetric.

Show that the relation geq on the set R of all real numbers is reflexive and transitive but not symmetric.

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let X={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9} , Let R1 be a relation on X ...

    Text Solution

    |

  2. Show that the relations R on the set R of all real numbers, defined as...

    Text Solution

    |

  3. Let A={1,\ 2,\ 3} . Then, show that the number of relations contain...

    Text Solution

    |

  4. Let A be the set of all human beings in a town at a particular time...

    Text Solution

    |

  5. Let A be the set of all human beings in a town at a particular time...

    Text Solution

    |

  6. Let A be the set of all human beings in a town at a particular time...

    Text Solution

    |

  7. Let A be the set of all human beings in a town at a particular time...

    Text Solution

    |

  8. R1={(a ,\ a),\ (a ,\ b),\ (a ,\ c),\ (b ,\ b),\ (b ,\ c),\ (c ,\ a),\ ...

    Text Solution

    |

  9. R2={(a ,\ a)} is defined on set A={a ,\ b ,\ c} . Find whether or not ...

    Text Solution

    |

  10. R={(b , c)} is defined on set A={a ,\ b ,\ c} . Find whether or not it...

    Text Solution

    |

  11. Test whether, R1 on Q0 defined by (a ,\ b) in R1<=> a=1//b is (i) ref...

    Text Solution

    |

  12. Test whether, R2 on Z defined by (a ,\ b) in R2<=>|a-b|lt=5 is (i) re...

    Text Solution

    |

  13. Test whether, R3 on R defined by (a ,\ b) in R3<=> a^2-4\ a b+3b^2=0 ...

    Text Solution

    |

  14. Find whether or not R1={(1,\ 1),\ (1,\ 3),\ (3,\ 1),\ (2,\ 2),\ (2,\ 1...

    Text Solution

    |

  15. Find whether or not R2={(2,\ 2),\ (3,\ 1),\ (1,\ 3)} , on A={1,\ 2,\ 3...

    Text Solution

    |

  16. Find whether or not R3={(1,\ 3),\ (3,\ 3)} , on A={1,\ 2,\ 3} is (i) r...

    Text Solution

    |

  17. a R b if a-b >0 is defined on the set of real numbers, find whether...

    Text Solution

    |

  18. a R b iff 1+a b >0 is defined on the set of real numbers, find whet...

    Text Solution

    |

  19. a R b if |a|lt=b is defined on the set of real numbers, find whethe...

    Text Solution

    |

  20. Check whether the relation R defined on the set A={1,\ 2,\ 3,\ 4,\ 5,\...

    Text Solution

    |