Home
Class 12
MATHS
Show that the operation vv and ^^ on ...

Show that the operation `vv` and `^^` on `R` defined as `avvb=` Maximum of `a` and `b` ; `a^^b=` Minimum of `a` and `b` are binary operations of `Rdot`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos
  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Define a binary operation on a set.

Show that the binary operation * on Z defined by a*b= 3a+7b is not commutative.

Find the total number of binary operations on {a ,\ b} .

Is * defined by a * b=(a+b)/2 is binary operation on Z.

The binary operation R xx R to R is defined as a*b=2a+b . Find (2*3)*4 .

The binary operation **: RxxR->R is defined as a**b=2a+b . Find (2**3)**4 .

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

For the binary operation * on Z defined by a*b= a+b+1 the identity element is

'o' on N defined by a o b= a b + b a for all a, b∈N define a binary operation on the given set or not:

Determine whether * on N defined by a*b=a+b-2 for all a ,\ b in N define a binary operation on the given set or not:

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Let * be a binary operation on Q0 (set of non-zero rational numbers) ...

    Text Solution

    |

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

    Text Solution

    |

  3. Show that the operation vv and ^^ on R defined as avvb= Maximum of ...

    Text Solution

    |

  4. Let n be a positive integer. Prove that the relation R on the set Z o...

    Text Solution

    |

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

    Text Solution

    |

  6. On the set R-{-1} a binary operation * is defined by a*b=a+b+a b for a...

    Text Solution

    |

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

    Text Solution

    |

  8. Let '*' be a binary operation on Q0 (set of all non-zero rational numb...

    Text Solution

    |

  9. On the power set P of a non-empty set A, we define an operation * by ...

    Text Solution

    |

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

    Text Solution

    |

  11. Is * defined by a*b=(a+b)/2 is binary operation on Z.

    Text Solution

    |

  12. Let '*' be a binary operation on N given by a*b=LdotCdotMdot(a , b) fo...

    Text Solution

    |

  13. On the set M=A(x)={[xxxx]: x in R}of2x2 matrices, find the identity ...

    Text Solution

    |

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

    Text Solution

    |

  15. Let A=Q x Q and let * be a binary operation on A defined by (a , b)*(c...

    Text Solution

    |

  16. Let A=NxN , and let * be a binary operation on A defined by (a , b)*(...

    Text Solution

    |

  17. Discuss the commutativity and associativity of binary operation * d...

    Text Solution

    |

  18. Let * be a binary operation on N, the set of natural numbers, defined ...

    Text Solution

    |

  19. Let *, be a binary operation on N, the set of natural numbers defined ...

    Text Solution

    |

  20. On Q, the set of all rational numbers, a binary operation * is defined...

    Text Solution

    |