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

21

B

33

C

37

D

41

Text Solution

Verified by Experts

The correct Answer is:
B
`33`
Given:- ` a^{*} b=a^{2}-b^{2}+a b+4 `
` 2 * 3=2^{2}-3^{2}+2 times 3+4 `
` =4-9+6+4 `
` =5 `
` (2 * 3) * 4=5 * 4 `
` =5^{2}-4^{2}+5 times 4+4 `
` ...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    RD SHARMA|Exercise EXAMPLE|5 Videos

  • BINOMIAL DISTRIBUTION

    RD SHARMA|Exercise Solved Examples And Exercises|141 Videos

Similar Questions

Explore conceptually related problems

Consider the binary operation on Z defined by a ^(*)b=a-b . Then * 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.

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 a binary operation is defined by a**b=a^(b) , then 3**2 is equal to :

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^b then 4**2 is equal to:

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

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

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

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

RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Q^+ denote the set of all positive rational numbers. If the binary ope...

    Text Solution

    |

  2. Let '*' be a binary operation on Q0 (set of all non-zero rational numb...

    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. Is * defined by a*b=(a+b)/2 is binary operation on Z.

    Text Solution

    |

  5. Let '*' be a binary operation on N given by a*b=LdotCdotMdot(a , b) fo...

    Text Solution

    |

  6. On the set M=A(x)={[xxxx]: x in R}of2x2 matrices, find the identity ...

    Text Solution

    |

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

    Text Solution

    |

  8. Let A=Q x Q and let * be a binary operation on A defined by (a , b)*(c...

    Text Solution

    |

  9. Let A=NxN , and let * be a binary operation on A defined by (a , b)*(...

    Text Solution

    |

  10. Discuss the commutativity and associativity of binary operation * d...

    Text Solution

    |

  11. Let * be a binary operation on N, the set of natural numbers, defined ...

    Text Solution

    |

  12. Let *, be a binary operation on N, the set of natural numbers defined ...

    Text Solution

    |

  13. On Q, the set of all rational numbers, a binary operation * is defined...

    Text Solution

    |

  14. Let * be a binary operation on set Q-[1] defined by a*b=a+b-a b for al...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Define a binary operation * on the set A={0,1,2,3,4,5} given by a*b=a ...

    Text Solution

    |

  19. Let S={a+sqrt(2)b : a , b in Z}dot Then prove that an operation * on ...

    Text Solution

    |

  20. Let A be a set having more than one element. Let * be a binary oper...

    Text Solution

    |