Home
Class 12
MATHS
Show that addition and multiplication ar...

Show that addition and multiplication are associative binary opertion on R. But substraction is not associative on R. Division is not associative on `R _(**).`

Text Solution

Verified by Experts

The correct Answer is:
`(5 div3)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 1.1|13 Videos
  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 1.2|11 Videos
  • PROBABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos
  • VECTOR ALGEBRA

    NCERT TELUGU|Exercise Miscellaneous Exercise on chapter 10|17 Videos

Similar Questions

Explore conceptually related problems

Spliceosomes are associated with

Cephalization is associated with

Which of the following is multiplicative associative property?

What are association nerves?

Molecular association is highes in

NCERT TELUGU-RELATIONS AND FUNCTIONS -MISCLELLANEOUS EXERCISE ON CHAPTER 1
  1. Show that addition and multiplication are associative binary opertion ...

    Text Solution

    |

  2. Let f : R to R be defined as f (x) =10 x +7. Find the function g : R t...

    Text Solution

    |

  3. Let f:Wto W be defined as f (n)=n -1, if n is odd and f (n) =n +1, if ...

    Text Solution

    |

  4. If f : R to R is defined by f (x) =x ^(2) - 3x + 2, find f (f (x)).

    Text Solution

    |

  5. Show that the function f : R to R {x in R : -1 lt x lt 1} defined by f...

    Text Solution

    |

  6. Show that the function f: R to R given by f (x) = x ^(3) is injective...

    Text Solution

    |

  7. Give examples of two functions f:N to Z and g: Z to Z such that g o f ...

    Text Solution

    |

  8. Give examples of two functions f : N to N and g : N to N such g o f is...

    Text Solution

    |

  9. Given a non empty set X, consider P (X) which is the set of all subset...

    Text Solution

    |

  10. Find the number of all onto functins from the set {1,2,3..,n} to itsel...

    Text Solution

    |

  11. Let S = {a,b,c} and T ={1,2,3}. Find F ^(-1) of the following F from S...

    Text Solution

    |

  12. Consider the binary opertions **: R xx R to R and o : R xx R to R defi...

    Text Solution

    |

  13. Given a non-empty set X, let **: P(X) xx P (X) to P (X) be defined as ...

    Text Solution

    |

  14. If A = {0,1,2,3,4,5} Define a binary operation * on A as a*b = {{:(a+b...

    Text Solution

    |

  15. Let A = {-1,0,1,2},B= {-4,-2,0,2}and f , g , A to B be functions defin...

    Text Solution

    |

  16. Let A = {1,2,3}. Then number of relations containing (1,2) and (1,3) w...

    Text Solution

    |

  17. Let A = {1,2,3}. Then number of equivalence relations containing (1,2)...

    Text Solution

    |

  18. Let f : R to R be the Signumb Function defined as f (x) = {{:(1",",...

    Text Solution

    |

  19. Number of binary opertions on the set {a,b} are

    Text Solution

    |