Home
Class 12
MATHS
Show that addition, subtraction and mult...

Show that addition, subtraction and multiplication are binary operations on R but division is not a binary operation on R. Further, show that division is a binary operation on the set R*, of non-zero real numbers.

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

Show that addition and multiplication are associative binary operations on R.

Show that subtraction and division are not binary operations on N.

Show that subtraction and division are not associative binary operations on R.

Number of binary operations on the set {a, b} is

Number of binary operations on the set {a, b} is :

Show that addition and multiplication are associative binary operation on R. But subtraction is not associative on R. Division is not associative on R_∗ .

Number of binary ·operations on the set {3, 4} is :

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

MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Let * be the binary operation on N. Prove that (20*16) = 20*(16*8)

    Text Solution

    |

  2. Find the identity element in Z with respect to the operation '*' defie...

    Text Solution

    |

  3. Show that addition, subtraction and multiplication are binary operatio...

    Text Solution

    |

  4. Show that subtraction and division are not binary operations on N.

    Text Solution

    |

  5. Show that vv : R xx R rarr R given by (a, b) rarr max. [a, b) and ^^: ...

    Text Solution

    |

  6. Show that * : R xx R rarr R given by a * b rarr a + 2b is nto assoc...

    Text Solution

    |

  7. Let '*' be a binary operation defined on Q. Find which of the followin...

    Text Solution

    |

  8. Let '*' be a binary operation defined on Q. Find which of the followin...

    Text Solution

    |

  9. Let '*' be a binary operation defined on Q. Find which of the followin...

    Text Solution

    |

  10. Let '*' be a binary operation on Q defined by : a* b = (3ab)/5. Show t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |