Home
Class 12
MATHS
Consider a binary operation * on the ...

Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table             (FIGURE) Compute (2*3) *4 and 2* (3*4) Is * commutative? (iii) Compute (2*3)*(4*5)

Text Solution

Verified by Experts

`\ * \ \ \ \ \ 1 \ \ \ \ \ \ 2 \ \ \ \ \ \ 3 \ \ \ \ \ \ 4 \ \ \ \ \ \ 5`
`\ 1 \ \ \ \ \ \ 1 \ \ \ \ \ \ 1 \ \ \ \ \ \ 1 \ \ \ \ \ \ 1 \ \ \ \ \ \ 1`
`\ 2 \ \ \ \ \ \ 1 \ \ \ \ \ \ 2 \ \ \ \ \ \ 1 \ \ \ \ \ \ 2 \ \ \ \ \ \ 1`
`\ 3 \ \ \ \ \ \ 1 \ \ \ \ \ \ 1 \ \ \ \ \ \ 3 \ \ \ \ \ \ 1 \ \ \ \ \ \ 1`
...
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

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 *.

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.

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,quad 2,quad 3,quad 4,quad 5} defined by a^^b operation table of the operation ^^ .

The sets {1,2,3,4} and {3,4,5,6} are equal

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

Is * defined on the set {1,2,3,4,5} by a*b=LCM of a and b a binary operation?

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

RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Consider the set S={1,\ 2,\ 3,\ 4} . Define a binary operation * on...

    Text Solution

    |

  2. \begin{tabular}{|l|l|l|l|l|l|} \hline 1 & 1 & 2 & 3 & 4 & 5 \\ \hline ...

    Text Solution

    |

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

    Text Solution

    |

  4. Define a binary operation * on the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5} as...

    Text Solution

    |

  5. Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod...

    Text Solution

    |

  6. Define a binary operation * on the set A={1,\ 2,\ 3,4} as a*b=a b\ ...

    Text Solution

    |

  7. Construct the composition table for the composition of functions (o...

    Text Solution

    |

  8. Construct the composition table for xx4 on set S={0,\ 1,\ 2,\ 3} .

    Text Solution

    |

  9. Construct the composition table for +5 on set S={0,\ 1,\ 2,\ 3,\ 4}...

    Text Solution

    |

  10. Construct the composition table for xx6 on set S={0,\ 1,\ 2,\ 3,\ 4...

    Text Solution

    |

  11. Construct the composition table for xx5 on Z5={0,\ 1,\ 2,\ 3,\ 4} .

    Text Solution

    |

  12. For the binary operation xx(10) on set S={1,\ 3,\ 7,\ 9} , find the...

    Text Solution

    |

  13. For the binary operation xx7 on the set S={1,\ 2,\ 3,\ 4,\ 5,\ 6} ,...

    Text Solution

    |

  14. Find the inverse of 5 under multiplication modulo 11 on Z(11) .

    Text Solution

    |

  15. Write the multiplication table for the set of integers modulo 5.

    Text Solution

    |

  16. Consider the binary operation * and o defined by the following t...

    Text Solution

    |

  17. Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod...

    Text Solution

    |

  18. Write the identity element for the binary operations * on the set R...

    Text Solution

    |

  19. On the set Z of all integers a binary operation * is defined by a*b...

    Text Solution

    |

  20. Define a binary operation on a set.

    Text Solution

    |