Home
Class 11
MATHS
Using properties of sets, show that A uu...

Using properties of sets, show that `A uu ( A nn B)=A`

Promotional Banner

Topper's Solved these Questions

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos

Similar Questions

Explore conceptually related problems

Using properties of sets, show that A nn (A uu B)=A

By using properties of determinants, Show that : {:|(0,a,-b),(-a,0,-c),(b,c,0)|=0

By using properties of determinants, show that : |[1,1,1],[a,b,c],[a^3,b^3,c^3]| = (a-b)(b-c)(c-a)(a+b+c)

By using properties of determinants, show that : |[1,a,a^2],[1,b,b^2],[1,c,c^2]| = (a-b)(b-c)(c-a)

Let A, B, and C be the sets such that A uu B = A uu C and A nn B = A nn C . Show that B = C.

Let A , B and C be the sets such that A uu B=A uu C and A nn B = A nn C . show that B=C

If A and B are subsets of the universal set U, then show that : (A nn B) sub B .

If A and B are subsets of the universal set U, then show that : (A nn B) sub A .

If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn B)-(A nn C) .

MODERN PUBLICATION-SETS-EXERCISE
  1. For any sets A and B, prove that : P (A nn B) =P (A) nn P (B).

    Text Solution

    |

  2. Show that for any sets A and B, A = ( A nn B) uu ( A -B ) and A uu (B-...

    Text Solution

    |

  3. Using properties of sets, show that A uu ( A nn B)=A

    Text Solution

    |

  4. Using properties of sets, show that A nn (A uu B)=A

    Text Solution

    |

  5. Show that A nn B = A nn C need not imply B = C.

    Text Solution

    |

  6. Prove that if a set has only one clement then it has 2 subsets.

    Text Solution

    |

  7. Prove that If B sub A and if B has one element less than that of A, pr...

    Text Solution

    |

  8. Deduce from these two results that a set with 2 elements has 2^2 subse...

    Text Solution

    |

  9. Prove that A^c-B^c=B-A.

    Text Solution

    |

  10. Draw appropriate Venn diagram for the following : (A uu B)'

    Text Solution

    |

  11. Draw appropriate Venn diagram for the following : A' nn B'

    Text Solution

    |

  12. Draw appropriate Venn diagram for the following : (A nn B)'

    Text Solution

    |

  13. Draw appropriate Venn diagram for the following : A' uu B'

    Text Solution

    |

  14. Prove that : (A uu B uu C)^(c) =A^(c) nn B^(c) nn C^(c).

    Text Solution

    |

  15. If A = {1, 2, 3}, B= { 4, 5, 6} and C= { 7, 8, 9}, verify that : A ...

    Text Solution

    |

  16. Prove that : (A uu B)=(A-B) uu (B-A) uu (A nn B).

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Let A = {1, 2, 3, 4,5}, B = {2, 3, 5, 7} and C = {1, 2, 4, 6} be the s...

    Text Solution

    |

  20. Let A = {1, 2, 3, 4,5}, B = {2, 3, 5, 7} and C = {1, 2, 4, 6} be the s...

    Text Solution

    |