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

For the binary operation multiplication modulo `5*(xx_(5))` defined on the set `A={1,2,3,4},` find the value of `{2xx_(5)3^(-1)`. [Note that the inverse of 3 is 2]

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3 (Long Answer Type Questions)|22 Videos

  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise MCQs|5 Videos

  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3(Very Short Answer Type Questions)|22 Videos

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos

  • BINOMIAL DISTRUTION

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

The binary operation multiplication modulo 10(xx_(10)) is defined on the set A={0,1,3,7,9,}, find the inverse of the element 7.

Construct the composition table for the binary operation multiplication modulo 5(xx_(5)) on the set A={0,1,2,3,4} .

Prepare the composition table for multiplication modulo 6 (xx_(6)) on A={0,1,2,3,4,5}.

If +_(6) (addition modulo 6) is a binary operation on A={0,1,2,3,4,5}, find the value of 3+_(6)3^(-1)+_(6)2^(_1) . [note that the identity element is 0 and the inverse of the element 2 is 4 as 2+_(6)4=0 , the identity element.]

Prepare the composition table for addition modulo 6 (+_(6)) on A={0,1,2,3,4,5} .

The binary operation ** on the set A={1,2,3,4,5} is defined by a**b= maximum of a and b. Construct the composition table of the binary operation ** on A.

A binary operation ** is defined on the set S={0,1,2,3,4} as follows: a**b=a+b(mod5) Prove that 0inS is the identity element of the binary operation ** and each element ainS is invertible with 5-ainS being the inverse of the element a.

A binary operation @ is defined on the set A={0,1,2,3,4,5} as follows: a@b=a+b(mod6) for all a,binA. Prove that oinA is the identity element In A is invertible with operation @ and each element A is invertible with 6-ainA being the inverse of the element a.

If the binary operation on ZZ is defined by a**b=a^(2)-b^(2)+ab+4, then the value of (2**3)**4 is --

Complete the following nultiplication table so as to define a commutative binary operation ** on A={1,2,3,4}.

CHHAYA PUBLICATION-BINARY OPERATION-EXERCISE 3 (Short Answer Type Questions)
  1. A binary operaiton @ is defined on the set RR-{-1} as x@y=x+y+xy for a...

    Text Solution

    |

  2. If ** be the binary operation on the set ZZ of all integers, defined b...

    Text Solution

    |

  3. A binary operation @ is defined on ZZ, the set of integers, by a@b=|a-...

    Text Solution

    |

  4. Let ** a binary operation on NN given by a**b=H.C.F (a,b) for all a,bi...

    Text Solution

    |

  5. If +(6) (addition modulo 6) is a binary operation on A={0,1,2,3,4,5},...

    Text Solution

    |

  6. A binary operation ** is defined on the set RR(0) for all non- zero re...

    Text Solution

    |

  7. A binary operation ** is defined on the set ZZ of all integers by a@b=...

    Text Solution

    |

  8. A binary operation ** is defined on the set of real numbers RR by a**b...

    Text Solution

    |

  9. For the binary operation multiplication modulo 5*(xx(5)) defined on th...

    Text Solution

    |

  10. A binary operation ** on QQ the set of all rational numbers is defined...

    Text Solution

    |

  11. Prove that the identity element of the binary opeartion ** on RR defin...

    Text Solution

    |

  12. Find the identity element of the binary operation ** on ZZ defined by ...

    Text Solution

    |

  13. The binary operation * define on N by a*b = a+b+ab for all a,binN is

    Text Solution

    |

  14. Prove that 0 is the identity element of the binary operation ** on ZZ^...

    Text Solution

    |

  15. A binary operation ** on QQ(0), the set of all non-zero rational numbe...

    Text Solution

    |

  16. A binary operation @ on QQ-{1} is defined by a**b=a+b-ab for all a,bin...

    Text Solution

    |

  17. A binary operation ** on QQ, the set of rational numbers, is defined b...

    Text Solution

    |

  18. Determine which of the following binary operations are associative and...

    Text Solution

    |

  19. Let S be any set containing more than two elements. A binary operation...

    Text Solution

    |

  20. State whether the following statements are true or false with reasons...

    Text Solution

    |