Home
Class 12
MATHS
Let P be the set of all subsets of a giv...

Let P be the set of all subsets of a given set X. Show that `uu: P xx P->P`given by `(A , B) ->Auu B`and ` nn: PxxP ->P`given by `(A , B)->AnnB`are binary operations on the set P.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (e) (Long Answer Type Questions (I))|8 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions)|30 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (d) (Long Answer Type Questions (I))|9 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

The relation is subset of on the power set P(A) of a set A is

For any sets A and B .show that P(A nn B)=P(A)nn P(B)

If P(S) denotes the set of all subsets of a given set S, then the number of one-to-one functions from the set S={1,2,3} to the set P(S) is

If P={2,3} , form the set P times P times P

Given a non-empty set X, consider P(X) which is the set of all subjects of X. Define a relation in P(X) as follows: For subjects A,B in P(X),ARB if A sub B. Is R an equivalence relation on P(X)? Justify your answer.

Let X be a nonempty set and *be a binary operation on P(X), the power set of X defined by A*B=A nn B for all A,B in P(X).(

If mu is the universal set and P is a subset of mu then what is P nn(P-mu)uu(mu-P) equal to

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE 1 (e) (Short Answer Type Questions)
  1. Let 'x' be an operation defined as x:RxxRrarrR Such that a**b=2a+b,a,b...

    Text Solution

    |

  2. Let **:NxxNrarrN be an operation defined as a**b=a+ab,AAa,binN Check...

    Text Solution

    |

  3. Let P be the set of all subsets of a given set X. Show that uu: P xx ...

    Text Solution

    |

  4. Determine whether or not each of the definition of '**' given below gi...

    Text Solution

    |

  5. Show that the binary operation '**' defined from NxxNrarrN and given ...

    Text Solution

    |

  6. For each binary operation * defined below, determine whether * is com...

    Text Solution

    |

  7. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  8. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  9. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  10. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  11. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  12. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  13. Is *defined on the set {1, 2, 3, 4, 5} b y a * b = LdotCdotMdotof a a...

    Text Solution

    |

  14. Let *be the binary operation on N given by a*b = LdotCdotMdotof a and...

    Text Solution

    |

  15. Let * be a binary operation on N defined by a ** b = HCF of a and b. S...

    Text Solution

    |

  16. If n(A) = p and n(B) = q, then the number of relations from set A to s...

    Text Solution

    |

  17. (a) Let '**' be a binary operation defined on Q, the set of rational n...

    Text Solution

    |

  18. If A = { 1, 2, 3}, then the relation R = {(1, 2), (2, 3), (1, 3)} in A...

    Text Solution

    |

  19. In the binary operation **: QxxQrarrQ is defined as : (i) a**b=a+b-a...

    Text Solution

    |

  20. The binary operation ** defined on NN by a**b=a+b+ab for all a,binNN i...

    Text Solution

    |