Home
Class 12
MATHS
Examine which of the following is a bina...

Examine which of the following is a binary operation : ` a*b = (a+b)/2, a,b in N` For binary operation, check the commutative and associative property.

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

Similar Questions

Explore conceptually related problems

Which of the following binary operation is commutative ?

Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR neither commutative nor associative.

Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR both commutative and associative.

Let ** be binary operation on N defined by a ** b = HCF of a and b. Show that ** is both commutative and associative.

Number of binary operations on theset (a,b) is

If * is a binary operation such that a* b = a^2 + b^2 then 3 * 5 is

Let * be a binary operation defined on Q, the set of rational numbers, as follows: a*b = (a-b)^2, for a,b,inQ Find which of the binary operations are commutative and which are associative.

MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Let '*' be a binary operation on Q defined by : a* b = (3ab)/5. Show t...

    Text Solution

    |

  2. Examine which of the following is a binary operation : a*b = (a+b)/2,...

    Text Solution

    |

  3. Examine which of the following is a binary operation : a*b = (a+b)/2,...

    Text Solution

    |

  4. Let S be the set of all real numbers except 1 and 'o' be an operation ...

    Text Solution

    |

  5. Let S be the set of all real numbers except 1 and 'o' be an operation ...

    Text Solution

    |

  6. Let 'X' be a non-empty set. P (X) be its power set. Let '*' be an oper...

    Text Solution

    |

  7. Let 'X' be a non-empty set. P (X) be its power set. Let '*' be an oper...

    Text Solution

    |

  8. Let 'X' be a non-empty set. P (X) be its power set. Let '*' be an oper...

    Text Solution

    |

  9. Let 'X' be a non-empty set. P (X) be its power set. Let '*' be an oper...

    Text Solution

    |

  10. Let 'X' be a non-empty set and P(X) be its power set . Let * be an ope...

    Text Solution

    |

  11. Let 'X' be a non-empty set and P(X) be its power set . Let * be an ope...

    Text Solution

    |

  12. Let A = R xx R and * be a binary operation on A defined by : (a,b) * ...

    Text Solution

    |

  13. Let A= Q xx Q. Let'*' be a binary operation on A defined by: (a, b) * ...

    Text Solution

    |

  14. Let A = Q xx Q, where Q is the set of all natural involved and * be t...

    Text Solution

    |

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

    Text Solution

    |

  16. Determine whether each of the following relations are reflexive, symme...

    Text Solution

    |

  17. Determine whether each of the following relations are reflexive, symme...

    Text Solution

    |

  18. Determine whether each of the following relations are reflexive, symme...

    Text Solution

    |

  19. Determine whether each of the following relations are reflexive, symet...

    Text Solution

    |

  20. Determine whether the following relations are reflexive, symmetric an...

    Text Solution

    |