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

Let * be a binary operation defined on `Q^+` by the rule `a`*`b=(a b)/3` for all `a ,\ b in Q^+` . The inverse of `4`*`6` is (a)`9/8` (b) `2/3` (c) `3/2` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

For the binary operation * defined on R-{1} by the rule a * b=a+b+a b for all a ,\ b in R-{1} , the inverse of a is

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

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 defined on set Q-{1} by the rule a * b=a+b-a b . Then, the identity element for * is

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

Consider the binary operation * defined on Q-{1} by the rule a*b= a+b-a b for all a ,\ b in Q-{1} . The identity element in Q-{1} is (a) 0 (b) 1 (c) 1/2 (d) -1

Let * be a binary operation on Q-{0} defined by a*b=(a b)/2 for all a ,\ b in Q-{0} . Prove that * is commutative on Q-{0} .

On the set Z of all integers a binary operation ** is defined by a**b=a+b+2 for all a ,\ b in Z . Write the inverse of 4.

If the binary operation ** , defined on Q , is defined as a**b=2a+b-a b , for all a **\ b in Q, find the value of 3**4

On the set Q^+ of all positive rational numbers a binary operation * is defined by a * b=(a b)/2 for all a ,\ b in Q^+ . The inverse of 8 is (a) 1/8 (b) 1/2 (c) 2 (d) 4

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Q^+ is the set of all positive rational numbers with the binary oper...

    Text Solution

    |

  2. If the binary operation o. is defined on the set Q^+ of all positive r...

    Text Solution

    |

  3. Let * be a binary operation defined on set Q-{1} by the rule a*b=a+b...

    Text Solution

    |

  4. Which of the following is true? * defined by (a)a*b=(a+b)/2 is a bin...

    Text Solution

    |

  5. The binary operation * defined on N by a*b=a+b+a b for all a ,\ b in...

    Text Solution

    |

  6. If a binary operation * is defined by a*b=a^2+b^2+a b+1 ,then (2*3)*...

    Text Solution

    |

  7. Let * be a binary operation on R defined by a*b= a b+1 . Then, * is ...

    Text Solution

    |

  8. Subtraction of integers is (a)commutative but not associative (b)c...

    Text Solution

    |

  9. The law a+b=b+a is called

    Text Solution

    |

  10. An operation * is defined on the set Z of non-zero integers by a*b...

    Text Solution

    |

  11. On Z an operation * is defined by a*b=a^2+b^2 for all a ,\ b in Z ....

    Text Solution

    |

  12. A binary operation * on Z defined by a*b= 3a+b for all a ,\ b in Z ...

    Text Solution

    |

  13. Let * be a binary operation on N defined by a*b=a+b+10 for all a ,\ ...

    Text Solution

    |

  14. Consider the binary operation * defined on Q-{1} by the rule a*b= a+...

    Text Solution

    |

  15. For the binary operation * defined on R-{1} by the rule a*b=a+b+a b ...

    Text Solution

    |

  16. For the multiplication of matrices as a binary operation on the set...

    Text Solution

    |

  17. On the set Q^+ of all positive rational numbers a binary operation *...

    Text Solution

    |

  18. Let * be a binary operation defined on Q^+ by the rule a*b=(a b)/3 f...

    Text Solution

    |

  19. The number of binary operations that can be defined on a set of 2 e...

    Text Solution

    |

  20. The number of commutative binary operations that can be defined on a...

    Text Solution

    |