Home
Class 12
MATHS
If the binary operation * on Z is define...

If the binary operation * on Z is defined by `a`*`b=a^2-b^2+a b+4` , then value of `(2`*`3)`*`4` is (a) 233 (b) 33 (c) 55 (d) `-55`

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

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

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

Show that the binary operation * on Z defined by a*b= 3a+7b is not commutative.

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

Let * be a binary operation on set of integers I, defined by a*b=2a+b-3. Find the value of 3*4.

If a binary operation * is defined by a * b=a^2+b^2+a b+1 ,then (2 * 3) * 2 is equal to (a) 20 (b) 40 (c) 400 (d) 445

Let * be a binary operation on set of integers I, defined by a*b=2a+b-3 . Find the value of 3*4 .

The binary operation R xx R to R is defined as a*b=2a+b . Find (2*3)*4 .

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If a binary operation * is defined on the set Z of integers as a*b=3...

    Text Solution

    |

  6. Q^+ denote the set of all positive rational numbers. If the binary ope...

    Text Solution

    |

  7. If G is the set of all matrices of the form [xxxx] , where x in R-...

    Text Solution

    |

  8. Q^+ is the set of all positive rational numbers with the binary oper...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |