Home
Class 12
MATHS
Determine whether * on N defined by a ...

Determine whether * on `N` defined by a * b=1 for all `a ,\ b in N` is associative or commutative?

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Determine whether * on Q defined by a*b=(a+b)/2 for all a ,\ b in Q is commutative?

Determine whether * on N defined by a*b=a^b for all a ,\ b in N define a binary operation on the given set or not:

Determine whether * on N defined by a*b=a+b-2 for all a ,\ b in N define a binary operation on the given set or not:

Let *, be a binary operation on N, the set of natural numbers defined by a * b = a^b , for all a,b in N . Is * associative or commutative on N?

Let * be a binary operation on N, the set of natural numbers, defined by a*b= a^b for all a , b in Ndot Is '*' associative or commutative on N ?

Let *, be a binary operation on N, the set of natural numbers defined by a*b = a^b , for all a,b in N . is * associative or commutative on N?

Determine whether O on Z defined by a\ O\ b=a^b for all a ,\ b in Z define a binary operation on the given set or not:

A binary operation * on Z defined by a*b= 3a+b for all a ,\ b in Z , is (a) commutative (b) associative (c) not commutative (d) commutative and associative

Check the commutativity of * on Q defined by a*b=a-b for all a ,\ b in Q .

Check the commutativity of * on N defined by a*b=2^(a b) for all a ,\ b in N .

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Let * be a binary operation on N defined by a*b=LCM(a ,\ b) for all ...

    Text Solution

    |

  2. Let '*' be a binary operation on N given by a*b=LdotCdotM(a , b) for a...

    Text Solution

    |

  3. Determine whether * on N defined by a * b=1 for all a ,\ b in N is ...

    Text Solution

    |

  4. Determine whether * on Q defined by a*b=(a+b)/2 for all a ,\ b in Q i...

    Text Solution

    |

  5. Let A be any set containing more than one element. Let * be a binary...

    Text Solution

    |

  6. Check the commutativity of * on Z defined by a*b=a+b+a b for all a ,\ ...

    Text Solution

    |

  7. Check the commutativity of * on N defined by a*b=2^(a b) for all a ,\ ...

    Text Solution

    |

  8. Check the commutativity of * on Q defined by a*b=a-b for all a ,\ b in...

    Text Solution

    |

  9. Check the commutativity of O on Q defined by a\ \ b=a^2+b^2 for all a ...

    Text Solution

    |

  10. Check the commutativity and associativity of * on Q defined by a * ...

    Text Solution

    |

  11. Check the commutativity of * on Q defined by a*b=a b^2 for all a ,\ b ...

    Text Solution

    |

  12. Check the commutativity of * on Q defined by a*b=a+a b for all a ,\ b ...

    Text Solution

    |

  13. Check the commutativity and associativity of * on R defined by a*b=...

    Text Solution

    |

  14. Check the commutativity of * on Q defined by a*b=(a-b)^2 for all a ,\ ...

    Text Solution

    |

  15. Check the commutativity and associativity of * on Q defined by a*b=...

    Text Solution

    |

  16. Let *, be a binary operation on N, the set of natural numbers defined ...

    Text Solution

    |

  17. Check the commutativity and associativity of * on Z defined by a*b=a...

    Text Solution

    |

  18. Check the commutativity and associativity of * on Q defined bya*b= (...

    Text Solution

    |

  19. Check the commutativity and associativity of * on Z defined bya*b= a...

    Text Solution

    |

  20. Check the commutativity and associativity of * on N defined by a*b=g...

    Text Solution

    |