Home
Class 12
MATHS
If U={a,b,c,d,e,f} be the universal set ...

If `U={a,b,c,d,e,f}` be the universal set and A,B,C are three subsets of U, where `A={a,c,d} and B cupC={a,d,c,f}`, find
`(A capB) cup(A capC) and`

Text Solution

Verified by Experts

The correct Answer is:
`(A capB) cup(A capC)={a,c,d}`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Multiple Correct Answer Type|5 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Short answer type questions|53 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION|20 Videos

Similar Questions

Explore conceptually related problems

If U={a,b,c,d,e,f} be the universal set and A,B,C are three subsets of U, where A={a,c,d} and B cupC={a,d,c,f} , find (B' capC')

If S = {a,b,c,d,e,f} be the universal set and A,B,C are three subsets of S, where A={a,c,d,f},BcapC ={a,b,f} , find (A cup B) cap (A cup C)and B' cup C'.

If A,B,C be three subsets of the universal set S where S={1,2,3,4,5,6,7},A={1,3,5,6} and BcapC={1,2,6} , find (A cupB) cap(A cupC) and B^c cupC^c.

Let S={a,b,c,d,e} be the universal set and let A={a,b,d}and B={b,d,e} be two of its subsets. Find (A capB)' and (A cupB)'.

If X= { a, b, c, d } and Y = { f, b, d, g} , find X – Y

If X= { a, b, c, d } and Y = { f, b, d, g} , find X ∩ Y

If X= { a, b, c, d } and Y = { f, b, d, g} , find Y – X

If P={a,b,c,d,e,f} and Q={a,c,e,f}," prove that "(P-Q) cup(PcapQ)=P

If A = {a,b,c} and B= {b,c,d} then evaluate A cupB,A capB,A-B and B-A

Let U be the universal set and A cup B cup C = U , Then {(A- B) cup (B-C) cup (C-A)}' is equal to

CHHAYA PUBLICATION-SET THEORY -Long answer type questions
  1. If P={p,q,r,s,t,u} and Q capR={q,r,v,w}, find (P-Q)cup(P-R)

    Text Solution

    |

  2. If A,B,C be three subsets of the universal set S where S={1,2,3,4,5,...

    Text Solution

    |

  3. If U={a,b,c,d,e,f} be the universal set and A,B,C are three subsets of...

    Text Solution

    |

  4. If U={a,b,c,d,e,f} be the universal set and A,B,C are three subsets of...

    Text Solution

    |

  5. Given X cupY={1,2,3,4} , X cup Z={2,3,4,5}, X capY={2,3} and X cap Z =...

    Text Solution

    |

  6. Verify the following relations using Venn diagrams : (AcupB)cap(Acup...

    Text Solution

    |

  7. Verify the following relations using Venn diagrams : Acap(B cupC)=(A...

    Text Solution

    |

  8. Verify the following relations using Venn diagrams : (AcupB)^c=A^c c...

    Text Solution

    |

  9. Verify the following relations using Venn diagrams : (AcapB)^c=A^c c...

    Text Solution

    |

  10. Verify the following relations using Venn diagrams : A-(BcapC)=(A-B)...

    Text Solution

    |

  11. Verify the following relations using Venn diagrams : A-(BcupC)=(A-B)...

    Text Solution

    |

  12. Verify the following relations using Venn diagrams : (A-C)cap(B-C)=(...

    Text Solution

    |

  13. Draw a Venn diagram of three non-empty sets A , B and C such that A ...

    Text Solution

    |

  14. If A,B and C are three non-empty subsets of the universal set S, draw ...

    Text Solution

    |

  15. For any three sets A , B and C prove the followings : A cup(BcapC)=(...

    Text Solution

    |

  16. For any three sets A , B and C prove the followings : A cap(BcupC)=(...

    Text Solution

    |

  17. For any three sets A , B and C prove the followings : Acup(BcupC)=(A...

    Text Solution

    |

  18. For any three sets A , B and C prove the followings : Acap(BcapC)=(A...

    Text Solution

    |

  19. For any three sets A , B and C prove the followings : (AcupB)^c=A^c ...

    Text Solution

    |

  20. For any three sets A , B and C prove the followings : (AcapB)^c=A^c ...

    Text Solution

    |