Home
Class 12
MATHS
Let ∗ be the binary operation on N defin...

Let `∗` be the binary operation on N defined by `a*b=H.C.F. of a and b`. Is `∗` commutative?

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PSEB|Exercise Exercise|118 Videos

  • PROBABILITY

    PSEB|Exercise Exercise|140 Videos

  • THREE DIMENSIONAL GEOMETRY

    PSEB|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b . Is ∗ associative?

Let * be the binary operation on N given by a * b = L.C.M. of a and b. Find. Is * commutative?

Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b . Does there exist identity for this binary operation on N?

Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and b . Find : Is ∗ commutative?

Let ** be binary operation on N defined by a ** b = HCF of a and b. Show that ** is both commutative and associative.

Let ** be binary operation on N given by a ** b = LCM of a and b. Find Is ** commutative

Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and b . Find : Which elements of N are invertible for the operation ∗ ?

Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and b . Find : Find the identity of ∗ in N

Let * be the binary operation on the set {1,2,3,4,5}, defined by a *' b = H.C.F of a and b. Is the operation *' same as the operation * defined above? Justify your answer.

PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

    Text Solution

    |

  2. Is ∗ defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b ...

    Text Solution

    |

  3. Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b. ...

    Text Solution

    |

  4. Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b. ...

    Text Solution

    |

  5. Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b. ...

    Text Solution

    |

  6. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  7. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  8. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  9. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  10. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  11. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  12. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  13. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  14. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  15. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  16. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  17. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  18. Let A = N xx N and ∗ be the binary operation on A defined by (a, b) *...

    Text Solution

    |

  19. State whether the following statement is true or false. Justify:For an...

    Text Solution

    |

  20. State whether the following statement is true or false. Justify: If ∗...

    Text Solution

    |