Home
Class 12
MATHS
Let * be a binary operation on the set Q...

Let `*` be a binary operation on the set Q of rational numbers as follows: (i) `a*b=a-b`(ii) `a*b=a^2+b^2`(iii) `a*b=a+a b`(iv) `a*b=(a-b)^2`(v) `a*b=(a b)/4`(vi) `a*b=a b^2`Find which of the binary operations are commutative and which are associative

Promotional Banner

Similar Questions

Explore conceptually related problems

Let ∗ be a binary operation on the set Q of rational numbers as follows: a*b=a-b find is it associative?

Let ∗ be a binary operation on the set Q of rational numbers as follows: a*b=a-b find is it commutative?

Let ∗ be a binary operation on the set Q of rational numbers as follows: a*b=a2-b2 find is it associative?

Let ∗ be a binary operation on the set Q of rational numbers as follows: a*b=(a-b)^2 find is it associative?

Let ∗ be a binary operation on the set Q of rational numbers as follows: a*b=a2-b2 find is it commutative?

Let ∗ be a binary operation on the set Q of rational numbers as follows: a*b=(a-b)^2 find is it commutative?

Let ∗ be a binary operation on the set Q of rational numbers as follows: a*b=a^b/4 find is it associative?

Recommended Questions
  1. Let * be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  2. Let ** be a binary operation on the set Q of rational numbers as follo...

    Text Solution

    |

  3. Let ** be the binary operation defined on Q. Find which of the followi...

    Text Solution

    |

  4. मान लीजिए कि परिमेय संख्याओं के समुच्चय Q में निम्नलिखित प्रकार से परि...

    Text Solution

    |

  5. समुच्चय Q पर परिभाषित एक द्विआधारी संक्रिया है। ज्ञात करें कि द्विआधार...

    Text Solution

    |

  6. समुच्चय Q पर परिभाषित एक द्विआधारी संक्रिया निम्नलिखित है। ज्ञात करें...

    Text Solution

    |

  7. माना कि परिमेय संख्याओं के समुच्चय Q पर निम्न प्रकार परिभाषित द्विआधार...

    Text Solution

    |

  8. माना कि परिमेय संख्याओं के समुच्चय Q पर निम्न प्रकार परिभाषित द्विआधार...

    Text Solution

    |

  9. माना कि परिमेय संख्याओं के समुच्चय Q में निम्नलिखित प्रकार से परिभाषित...

    Text Solution

    |