Home
Class 12
MATHS
If the operation * defined by a* b =a^2 ...

If the operation * defined by a* b =a^2 + b^2 or all real numbers a and b, then (2*3) * 4 =

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • PROBABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|467 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

If the operation o+ is defined by a o+ b = a^2 + b^2 for all real numbers 'a' and 'b', then (2o+3)o+4 is

Let * be the binary operation defined on R by a * b = 1 + ab for all a, b in R, then the operation * is

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

If a binary operation is defined by a * b = a^b then 2 * 2 is equal to :

let '*' be a binary operation on R defined by a*b = a+b + ab, where a, b inR , then the value of 1*(2*3) is

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

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

Let '*' be the binary operation defined on Q by the rule a * b = ab^2 for a , b in Q. compute (1*2) *3.

True or False statements : Let N be the set of natural numbers. Then, the binary operation * on N defined as a * b = a + b for all a , b in N has the identity element.

Consider the operations '*' and o+ on the set R of all real numbers defined as a* b = |a-b| and a o+ b = a for all a, b in R. Prove that '*' is commutative but not associative.

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let A= Q xx Q. Let'*' be a binary operation on A defined by: (a, b) * ...

    Text Solution

    |

  2. Let A= Q xx Q. Let'*' be a binary operation on A defined by: (a, b) * ...

    Text Solution

    |

  3. If the operation * defined by a* b =a^2 + b^2 or all real numbers a an...

    Text Solution

    |

  4. Let * : Q xx Q rarr Q be defined a as a * b = 1 + ab for all a, b in Q...

    Text Solution

    |

  5. Let '*' be a binary operation on Q defined by a * b = (3ab)/5. Show th...

    Text Solution

    |

  6. Define a binary operation * on the set {0,1,2,3,4,5} as a*b = {:{(a+...

    Text Solution

    |

  7. Let N^m be the set of al ordered m-tuples of natral numbers. If x = (x...

    Text Solution

    |

  8. Let A be a non-empty set and '*' be a binary operation on P(A), the po...

    Text Solution

    |

  9. Let A be a non-empty set and '*' be a binary operation on P(A), the po...

    Text Solution

    |

  10. Let A = (1,2,3) and B = (a,b). How many relations can be defined form ...

    Text Solution

    |

  11. If R = (1,3),(2,1) is a relation on the set A = (1,2,3), find R^-1

    Text Solution

    |

  12. Write the domain of the relation R (a,a),(a,b),(a,c) defined on the s...

    Text Solution

    |

  13. Write down the range of the relation R = (1,1), (1,2), (3,2), (4,2) de...

    Text Solution

    |

  14. Given set A = {1,2,3}, then the relation : R = {(1,1),(2,2),(3,3)} is ...

    Text Solution

    |

  15. Is the relation R = (a,a), (a,b), (b,b). Transitive on the set A = (a,...

    Text Solution

    |

  16. Write down the identity relation on the set A = (x,y,z)

    Text Solution

    |

  17. If A = {a, b, c, d} then a relation R = {(a, a), (b, b), (c, c), (d, d...

    Text Solution

    |

  18. Is the relation R = (1,1), (2,2), (3,3) transitive on the set A = (1,2...

    Text Solution

    |

  19. Write the domain of the relation R (a,a),(a,b),(a,c) defined on the s...

    Text Solution

    |

  20. Let A = (1,2,3). For x,y in A, let x R y iff x < y. Write down R as a ...

    Text Solution

    |