Home
Class 12
MATHS
If the binary operation o is defined on ...

If the binary operation `o` is defined on the set `Q^+` of all positive rational numbers by `aob=(a b)/4dot` Then, `3o(1/5o1/2)` is equal to `3/(160)` (b) `5/(160)` (c) `3/(10)` (d) `3/(40)`

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

If the binary operation o. is defined on the set Q^+ of all positive rational numbers by ao.b=(a b)/4dot Then, 3o.(1/5o.1/2) is equal to

The binary operation defined on the set z of all integers as a ** b = |a-b| - 1 is

A binary operation ** defined on Q^(+) the set of all positive is given a**b = (ab) /2 Then the inverse of 3 is :

The binary operation * is defined by a*b= (a b)/7 on the set Q of all rational numbers. Show that * is associative.

If a binary operation * is defined on the set Z of integers as a * b=3a-b , then the value of (2 * 3) * 4 is

Write the identity element for the binary operation * defined on the set R of all real numbers by the rule a*b= (3a b)/7 for all a ,\ b in Rdot

If the binary operation * on the set Z of integers is defined by a*b=a+3b^2, find the value of 2*4 .

If the operation * is defined on the set Q - {0} of all rational numbers by the rule a * b=(a b)/4 for all a ,\ b in Q - {0} . Show that * is commutative on Qdot - {0}

If the binary operation * on the set Z of integers is defined by a * b=a+3b^2 , find the value of 2 * 4 .

Q^+ denote the set of all positive rational numbers. If the binary operation . on Q^+ is defined as a.b=(a b)/2, then the inverse of 3 is (a) 4/3 (b) 2 (c) 1/3 (d) 2/3

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. If the binary operation . on the set Z is defined by a.b=a+b-5, then f...

    Text Solution

    |

  2. Let * be a binary operation o Q defined by a*b= (ab)/4 for all a,bin Q...

    Text Solution

    |

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

    Text Solution

    |

  4. Let S={a+sqrt(2)\ b\ : a ,\ b in Z}dot Then, prove that an operati...

    Text Solution

    |

  5. Let S={1,\ 2,\ 3,\ 4} and * be an operation on S defined by a*b=r , wh...

    Text Solution

    |

  6. Let S=(0,1,2,3,4,) and * be an operation on S defined by a*b=r , where...

    Text Solution

    |

  7. Show that the operation vv and ^^ on R defined as avvb= Maximum of ...

    Text Solution

    |

  8. On the set Q of all rational numbers an operation * is defined by a*b ...

    Text Solution

    |

  9. On the set W of all non-negative integers * is defined by a*b=a^b ....

    Text Solution

    |

  10. On the set C of all complex numbers an operation 'o' is defined by ...

    Text Solution

    |

  11. Let M be the set of all 2X2 real singular matrices . On M , let * be...

    Text Solution

    |

  12. Determine whether * on N defined by a*b=a^b for all a ,\ b in N de...

    Text Solution

    |

  13. Determine whether O on Z defined by a\ O\ b=a^b for all a ,\ b in ...

    Text Solution

    |

  14. Determine whether * on N defined by a*b=a+b-2 for all a ,\ b in N ...

    Text Solution

    |

  15. Determine whether 'xx6' on S={1,\ 2,\ 3,\ 4,\ 5} defined by axx6b= Rem...

    Text Solution

    |

  16. Determine whether '+6' on S={0,\ 1,\ 2,\ 3,\ 4,\ 5} defined by a+6b={a...

    Text Solution

    |

  17. 'o' on N defined by a o b= a b + b a for all a, b∈N define...

    Text Solution

    |

  18. '*' on Q defined by a*b=(a-1)/(b+1) for all a ,\ b in Q define a bina...

    Text Solution

    |

  19. Determine whether or not the definition of * On Z^+ , defined * by a...

    Text Solution

    |

  20. Determine whether or not the definition of * On Z^+ , defined * by ...

    Text Solution

    |