Home
Class 12
MATHS
Write the identity element for the bin...

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`

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

Write the identity element for the binary operations * on the set R_0 of all non-zero real numbers by the rule a * b=(a b)/2 for all a ,\ b in R_0

Define identity element for a binary operation defined on a set.

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

A binary operation * is defined on the set R of all real numbers by the rule a*b= sqrt(a^2+b^2) for all a ,\ b in R . Write the identity element for * on Rdot

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}

Find the identity element for the binary operation * on Z defined as a*b = a + b-5. Also find the inverse element of 100.

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

The binary operation * is defined over the set of real number to be a*b ={:{(asin. (b)/a" if "agtb),(bcos.(a)/b" if " a lt b):} Find the value of 5**3

Let * be a binary operation on N, the set of natural numbers, defined by a*b= a^b for all a , b in Ndot Is '*' commutative on N ?

For the binary operation * on Z defined by a*b= a+b+1 the identity element is

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Define an associative binary operation on a set.

    Text Solution

    |

  2. Write the total number of binary operations on a set consisting of ...

    Text Solution

    |

  3. Write the identity element for the binary operation * defined on the...

    Text Solution

    |

  4. Let * be a binary operation, on the set of all non-zero real number...

    Text Solution

    |

  5. Write the inverse of 5 under multiplication modulo 11 on the set {1...

    Text Solution

    |

  6. Define identity element for a binary operation defined on a set.

    Text Solution

    |

  7. Write the composition table for the binary operation multiplication...

    Text Solution

    |

  8. Write the composition table for the binary operation multiplication ...

    Text Solution

    |

  9. For the binary operation multiplication modulo 5\ (xx5) defined on ...

    Text Solution

    |

  10. Write the composition table for the binary operation xx5 (multiplic...

    Text Solution

    |

  11. A binary operation * is defined on the set R of all real numbers by ...

    Text Solution

    |

  12. Let +6 (addition modulo 6) be a binary operation on S={0,\ 1,\ 2,\ ...

    Text Solution

    |

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

    Text Solution

    |

  14. If the binary operation * on the set Z of integers is defined by a...

    Text Solution

    |

  15. Let * be a binary operation on N given by a*b=H C F\ (a ,\ b),\ \ a ...

    Text Solution

    |

  16. Let * be a binary operation on set of integers I , defined by a*b=2a...

    Text Solution

    |

  17. If a*b=a^2+b^2, then the value of (4*5)*3 is (i)(4^2+5^2)+3^2 (ii) (4...

    Text Solution

    |

  18. If a*b denote the bigger among a and b and if a b=(a*b)+3 , then 4*...

    Text Solution

    |

  19. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

    Text Solution

    |

  20. For the binary operation * on Z defined by a*b= a+b+1 the identity e...

    Text Solution

    |