Home
Class 12
MATHS
Let * be a binary operation on N defi...

Let * be a binary operation on `N` defined by `a*b=1. cdotmdot(a ,\ b)` for all `a ,\ b in Ndot` Find `2*4,\ 3*5,\ 1*6` .

Text Solution

Verified by Experts

Let * be a binary operation on `N` defined by `a`*`b=1`
Then
(i) `2`*`4=L.C.M(2,4)`
`=4`
(ii) `3`*`5=L.C.M(3,5)`
`=15`
...
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

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

Let '**' be a binary operation on N given by: a**b=LCM (a,b) for all a, b inN . Find 20**16

Let * be a binary operation on N given by a*b=LdotCdotM(a , b) for all a , b in N . (i) Find 5*7, 20*16 (ii) Is * commutative?

Let '**' be a binary operation on N given by: a**b=LCM (a,b) for all a, b inN . Find 6**7

Let * be a binary operation o Q defined by a^(*)b=(ab)/(4) for all a,b in Q,find identity element in Q

Let * be a binary operation on N given by a*b=HFC(a,b) for all a,b in N, then find :12*4,18*24,7*5

Let * be a binary operation of N given by a a*b=LCM(a,b) for all a,b in N. Find 5*7.

Let * be a binary operation on N defined by a*b=a+b+10 for all a , b in N . The identity element for * in N is (a) -10 (b) 0 (c) 10 (d) non-existent

Let * be a binary operation on N, the set of natural numbers, defined by a*b= a^b for all a , b in Ndot Is '*' associative or commutative on N ?

RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Let A=NxNa n d^(prime)*' be a binaryoperation on A defined by (a , b)*...

    Text Solution

    |

  2. Let A be a set having more than one element. Let * be a binary oper...

    Text Solution

    |

  3. Let * be a binary operation on N defined by a*b=1. cdotmdot(a ,\ b)...

    Text Solution

    |

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

    Text Solution

    |

  5. Determine whether * on N defined by a*b=1 for all a ,\ b in N is asso...

    Text Solution

    |

  6. Determine whether * on Q defined by a*b=(a+b)/2 for all a ,\ b in Q i...

    Text Solution

    |

  7. Let A be any set containing more than one element. Let * be a binar...

    Text Solution

    |

  8. Check the commutativity and associativity of * on Z defined by a*b=...

    Text Solution

    |

  9. Check the commutativity and associativity of * on N defined by a*b=...

    Text Solution

    |

  10. Check the commutativity and associativity of * on Q defined by a*b=...

    Text Solution

    |

  11. Check the commutativity and associativity of O on Q defined by a\ \...

    Text Solution

    |

  12. Check the commutativity and associativity of o on Q defined by a\ o...

    Text Solution

    |

  13. Check the commutativity and associativity of * on Q defined by a*b=...

    Text Solution

    |

  14. Check the commutativity and associativity of * on Q defined by a*b=...

    Text Solution

    |

  15. Check the commutativity and associativity of * on R defined by a*b=...

    Text Solution

    |

  16. Check the commutativity and associativity of * on Q defined by a*b=...

    Text Solution

    |

  17. Check the commutativity and associativity of * on Q defined by a*b=...

    Text Solution

    |

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

    Text Solution

    |

  19. Check the commutativity and associativity of * on Z defined by a*b=...

    Text Solution

    |

  20. Check the commutativity and associativity of * on Q defined by a*b=...

    Text Solution

    |