Home
Class 12
MATHS
For operation ∗ defined below, determine...

For operation `∗` defined below, determine whether `∗` is binary, commutative or associative: On `Z^+`, define`a*b=2^(ab)`

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

For operation ∗ defined below, determine whether ∗ is binary, commutative or associative: On Z , define a*b=a-b

For operation ∗ defined below, determine whether ∗ is binary, commutative or associative: On Z^+ , define a*b=a^b

For operation ∗ defined below, determine whether ∗ is binary, commutative or associative: On Q , define a*b=ab/2

For operation ∗ defined below, determine whether ∗ is binary, commutative or associative: On Q , define a*b=ab+1

For operation ∗ defined below, determine whether ∗ is binary, commutative or associative: On R-{-1} , define a*b=a/(b+1)

For each operation * defiend below, determine whether* is binary, commutative or associative. On Z^+ , define a * b = 2^ab

For each operation * defiend below, determine whether* is binary, commutative or associative. On Q, define a * b = (ab)/2

For binary operation ** defined below, determine whether ** is commutative or associative ? On Z^(+) define a**b = 2^(ab)

For binary operation ** defined below, determine whether ** is commutative or associative ? On Q , define a** b=(ab)/2

For binary operation ** defined below, determine whether ** is commutative or associative ? On Z, define a**b = a - b

PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  2. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  3. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  4. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  5. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  6. Consider the binary operation ^^ on the set {1, 2, 3, 4, 5} defined ...

    Text Solution

    |

  7. Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the ...

    Text Solution

    |

  8. Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |