Home
Class 12
MATHS
For the binary operation multiplicati...

For the binary operation multiplication modulo `5\ (xx_5)` defined on the set `S={1,\ 2,\ 3,\ 4}` . Write the value of `(3xx_5 4^(-1))^(-1)` .

Text Solution

Verified by Experts

`(3 xx_5 4)^(-1)=2^(-1)=3`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    RD SHARMA|Exercise EXAMPLE|5 Videos
  • BINOMIAL DISTRIBUTION

    RD SHARMA|Exercise Solved Examples And Exercises|141 Videos

Similar Questions

Explore conceptually related problems

For the binary operation multiplication modulo 10(xx10) defined on the set S={1,3,7,9}

Write the composition table for the binary operation xx5 (multiplication modulo 5) on the set S={0,1,2,3,4}.

Write the composition table for the binary operation multiplication modulo 10(xx_(10)) on the set S={2,4,6,8}

Write the inverse of 5 under multiplication modulo 11 on the set {1, 2, ....., 10}.

Let +_(6)( addition modulo 6) be a binary operation on S={0,1,2,3,4,5}. Write the value of 2+_(6)4^(-1)+_(6)3^(-1)

For the binary operation xx_(7) on the set S={1,2,3,4,5,6}, compute 3^(-1)xx_(7)4

Consider the binary operation ^^ on the set {1,2,3,4,5} defined by a^^b=min{a,b} Write the operation table of the operation.

If a binary operation * is defined on the set Z of integers as a*b=3a-b, then the value of (2*3)*4 is (a) 2 (b) 3 (c) 4 (d) 5

For the binary operation xx10 on set S={1,3,7,9}, find the inverse of 3.

Consider the binary operation* on the set {1, 2, 3, 4, 5} defined by a * b=min. {a, b}. Write the operation table of the operation *.

RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Write the composition table for the binary operation multiplication...

    Text Solution

    |

  2. Write the composition table for the binary operation multiplication ...

    Text Solution

    |

  3. For the binary operation multiplication modulo 5\ (xx5) defined on ...

    Text Solution

    |

  4. Write the composition table for the binary operation xx5 (multiplic...

    Text Solution

    |

  5. A binary operation * is defined on the set R of all real numbers by...

    Text Solution

    |

  6. Let +6 (addition modulo 6) be a binary operation on S={0,\ 1,\ 2,\ ...

    Text Solution

    |

  7. Let * be a binary operation defined by a*b=3a+4b-2 . Find 4*5.

    Text Solution

    |

  8. If the binary operation * on the set Z of integers is defined by...

    Text Solution

    |

  9. Let * be a binary operation on N given by a*b=H C F\ (a ,\ b),\ \ a...

    Text Solution

    |

  10. Let * be a binary operation on set of integers I , defined by a*b=2...

    Text Solution

    |

  11. If a*b=a^2+b^2, then the value of (4*5)*3 is a*b=a^2+b^2, then the val...

    Text Solution

    |

  12. If a*b denote the bigger among a and b and if a b=(a**b)+3 , then 4...

    Text Solution

    |

  13. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

    Text Solution

    |

  14. For the binary operation * on Z defined by a ast b=a+b+1 the identit...

    Text Solution

    |

  15. If a binary operation * is defined on the set Z of integers as a ast...

    Text Solution

    |

  16. Q^+ denote the set of all positive rational numbers. If the binary ope...

    Text Solution

    |

  17. If G is the set of all matrices of the form [xxxx] , where x in R-...

    Text Solution

    |

  18. Q^+ is the set of all positive rational numbers with the binary ope...

    Text Solution

    |

  19. If the binary operation o. is defined on the set Q^+ of all positive r...

    Text Solution

    |

  20. Let * be a binary operation defined on set Q-{1} by the rule a*b=a+b...

    Text Solution

    |