Home
Class 11
MATHS
For any two sets A and B, prove that : ...

For any two sets A and B, prove that :
(i) `(A-B)cupB=AcupB`
(ii) `(A-B)capB=phi`

Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1E|15 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1F|12 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1C|16 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

For any two sets A and B, prove that B sub A uu B

For any two sets A and B, prove that A nn B sub A

For any two sets A and B, prove that : (i) (AcupB)-A=B-A (ii) (A-B)capA=AcapB' (iii) A capB' = phi rArr A sube B (iv) A' cupB=UrArrA subeB .

For any two sets A and B, prove that : (i) (A capB)cup(A-B)=A (ii) A cup(B-A)=A cupB .

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

For any two sets A and B, prove that A sub B rArr A nn B=A

For any two sets A and B, B' - A' = ?

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

For any sets A and B , prove that : P(AcapB)=P(A)capP(B) .

For any 3 sets A, B and C, prove that : (i) A-(B cupC)=(A-B)cap(A-C) (ii) A-(BcapC)=(A-B)cup(A-C) (iii) A cap(B-C)= (A cap B) - (A cap C) (iv) (A cupB)-C=(A-C)cup(B-C) (v) A cap (B DeltaC)=(A capB)Delta(A capC) .

NAGEEN PRAKASHAN-SETS-Exercise 1D
  1. If A = {1,2,3,4},B={2,4,6,8} and C={3,4,5,6}, then find each of the fo...

    Text Solution

    |

  2. If A and B are two sets, then find (A cap B) cup B.

    Text Solution

    |

  3. If A and B are two sets such that A sube B, then find (i) A cup B ...

    Text Solution

    |

  4. If A = {1,2,3,4,5},B={2,4,6,8} and C={3,6,7,8}, then show that : (i)...

    Text Solution

    |

  5. (i) If aN={2x:x in N}, then find 3N cap2N. (ii) If A = {2,3,4},B={4,...

    Text Solution

    |

  6. If A={x:xle 4,x in N},B={x:xle 8, x in N} and C={x:x in N,2 lt x lt 7}...

    Text Solution

    |

  7. If U={11,12,13,14,....,20},A={11,12,13,14} and B={14,16,18,20}, then f...

    Text Solution

    |

  8. If A={1,2,3}and B={3,5,7}, the find A oplusB.

    Text Solution

    |

  9. Find (A-B)cup(B-A) from each of the following : (i) A={x,y,z)," "...

    Text Solution

    |

  10. If A={2,4,6,8,10},B={3,4,5,6}andC={5,6,7,8}, the show that : (i) B o...

    Text Solution

    |

  11. For any set A show that A oplus A = phi.

    Text Solution

    |

  12. If A = {x : x is a natural number} B = {x : x is an even natural num...

    Text Solution

    |

  13. Draw the Venn diagram for each of the following : (i) (A cap B)' (...

    Text Solution

    |

  14. (i) If A={x:x^(2)-2x+1=0}and B={x:x^(3)-x^(2)-2x=0}, then find A cupB ...

    Text Solution

    |

  15. If A and B are two sets, then prove that : (i) (A-B)cupB=AhArrB sube...

    Text Solution

    |

  16. If A,B and C are three sets such that A cup B = C and A cap B = phi, t...

    Text Solution

    |

  17. For set A and B, is it true that : P(A)cupP(B)=P(A cupB) Give reas...

    Text Solution

    |

  18. For any two sets A and B, prove that : (i) (A-B)cupB=AcupB (ii) (A...

    Text Solution

    |

  19. Fill in the blanks : (i) A cupA'=......... (ii) A capA'=.............

    Text Solution

    |

  20. Represent (i) A cap(BcupC) and (ii) (A capB)cupC by venn diagram.

    Text Solution

    |