Home
Class 12
MATHS
For each operation * defiend below, dete...

For each operation * defiend below, determine whether* is binary, commutative or associative.
On Q, define a * b = `(ab)/2`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTION

    MODERN PUBLICATION|Exercise EXAMPLE|212 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|543 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos
MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Determine whether or not each of the defination of '*' given below giv...

    Text Solution

    |

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

    Text Solution

    |

  3. For each operation * defiend below, determine whether* is binary, comm...

    Text Solution

    |

  4. For each operation * defiend below, determine whether* is binary, comm...

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

    Text Solution

    |

  8. Consider a binary operation * on the set {1,2,3,4,5} give by the follo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Let * be the binary operation on the set {1,2,3,4,5}, defined by a *' ...

    Text Solution

    |

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

    Text Solution

    |

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

    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 binary operation on N given by a ** b = LCM of a and b. Fin...

    Text Solution

    |

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

    Text Solution

    |

  17. Is '*' defined on the set {1, 2, 3, 4, 5} by : a * b = L.C.M.. of a an...

    Text Solution

    |

  18. Let be the binary operation on N defined by a*b = H.C.F. of a and b: I...

    Text Solution

    |

  19. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  20. Let * be a binary operation defined on Q, the set of rational numbers,...

    Text Solution

    |