Home
Class 12
MATHS
Determine whether or not each of the def...

Determine whether or not each of the definition of '*' given below gives a binary operation. In the event that '*' is not a binary operation, give justification for this: `On Z^+, define '*' by a ** b = |a-b|`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PSEB|Exercise Exercise|118 Videos

  • PROBABILITY

    PSEB|Exercise Exercise|140 Videos

  • THREE DIMENSIONAL GEOMETRY

    PSEB|Exercise Exercise|77 Videos
PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Determine whether or not each of the definition of '*' given below giv...

    Text Solution

    |

  2. Determine whether or not each of the definition of '*' given below giv...

    Text Solution

    |

  3. Determine whether or not each of the definition of '*' given below giv...

    Text Solution

    |

  4. Determine whether or not each of the definition of '*' given below giv...

    Text Solution

    |

  5. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  6. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  7. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  8. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  9. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  10. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  11. Consider the binary operation ^^ on the set {1, 2, 3, 4, 5} defined ...

    Text Solution

    |

  12. Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the ...

    Text Solution

    |

  13. Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the ...

    Text Solution

    |

  14. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

    Text Solution

    |

  15. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

    Text Solution

    |

  16. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

    Text Solution

    |

  17. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

    Text Solution

    |

  18. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

    Text Solution

    |

  19. Is ∗ defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b ...

    Text Solution

    |

  20. Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b. ...

    Text Solution

    |