Home
Class 11
MATHS
For any three sets A, B,C prove that : ...

For any three sets A, B,C prove that : `Axx(B^(c) uu C^(c))^(c)= (AxxB) nn (AxxC)`.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|348 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

Similar Questions

Explore conceptually related problems

For any three sets A, B,C prove that : Axx(B^(c) nn C^(c))^(c)= (AxxB) uu (AxxC) .

For any three sets A, B,C prove that : Axx (B uu C)= (AxxB) uu (AxxC) .

For any three sets A, B,C prove that : Axx (B uu C)= (AxxB) uu (AxxC) .

For any three sets A, B, C, prove that : Axx(B nn C)=(A xx B)nn (Axx C) .

For any three sets A, B, C, prove that : Axx(B - C)=(A xx B)- (Axx C) .

For any three sets A, B,C prove that : (A nn B) xx C= (AxxC) nn (BxxC) .

For any three sets A, B,C prove that : (A- B) xx C= (AxxC) - (BxxC) .

For any four sets A, B, C and D, prove that : (A nn B)xx (C nn D)= (AxxC) nn (BxxD) .

For any two sets A and B, prove that : (A-B) uu (B-A) = (A uu B)- (A nn B) .

If P, Q and R are the subsets of a set A, then prove that Rxx(P^(c )uuQ^(c ))^(c )=(RxxP)nn(RxxQ) .

MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. For any three sets A, B,C prove that : (A nn B) xx C= (AxxC) nn (BxxC...

    Text Solution

    |

  2. For any four sets A, B, C and D, prove that : (A nn B)xx (C nn D)= (A...

    Text Solution

    |

  3. For any three sets A, B,C prove that : Axx(B^(c) uu C^(c))^(c)= (Axx...

    Text Solution

    |

  4. For any three sets A, B,C prove that : Axx(B^(c) nn C^(c))^(c)= (AxxB...

    Text Solution

    |

  5. State whether the following statement is true or false. If the stateme...

    Text Solution

    |

  6. State whether the following statement is true or false. If the stateme...

    Text Solution

    |

  7. State whether the following statement is true or false. If the stateme...

    Text Solution

    |

  8. If A= {1, 2, 3} and B = {1, 2}, then find : AxxB.

    Text Solution

    |

  9. If A= {1, 2, 3} and B = {1, 2}, then find : B xx A.

    Text Solution

    |

  10. If A= {1, 2, 3} and B = {1, 2}, then find : Is AxxB= B xx A ?

    Text Solution

    |

  11. If A= {1, 2, 3} and B = {1, 2}, then find : Represent AxxB graphically...

    Text Solution

    |

  12. Let X = {- 2,0, 1}, Y = {2, 3}. Represent X xx Y and Y xx X graphicall...

    Text Solution

    |

  13. Let A = {2, 3, 5, 7}, B = (1, 12, 13, 15}. How many elements are there...

    Text Solution

    |

  14. If A and B are two non-empty sets having n elements in common, then pr...

    Text Solution

    |

  15. Let A = {x, y,z} and B = {1,2}. Find the number of relations from A to...

    Text Solution

    |

  16. Let A = {1, 2}. List all relations on A.

    Text Solution

    |

  17. A = {1, 2, 3, 5} andB= {4, 6, 9}. Define a relation R Ifom A to B by R...

    Text Solution

    |

  18. Write the relation R = {(x, x^3) : x is a prime number less than 10} i...

    Text Solution

    |

  19. Let R be the relation on Z defined by R = {(a,b ): a, b in Z, a-b is a...

    Text Solution

    |

  20. Let A = {3,5} and B = {7, 11}. Let R = {(a, b):a in A, b in B, a -b is...

    Text Solution

    |