Home
Class 11
MATHS
Let U={1,2,3,.. ., 10} be the universal ...

Let `U={1,2,3,.. ., 10}` be the universal set. If `A={3,4,6,8}`, find `A^prime` and show that `A uu A^prime=U`, `A nn A^prime=phi` and `( A^(prime))^(prime)=A`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos
  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

Let U={1,2,3,4,5,6} , A={2,3} and B={3,4,5} . Find A',B' and hence show that (AbigcupB)'=A'bigcapB' .

Let X={1,2,3,..., 12}, A={4,5,9,11} , B={1,2,4,5,8,9,10, 11,12} Verify that B^prime is a subset of A^prime .

Consider two sets A and B in the same universal set. If A={1,2,3} and B={3,4,5},then find (A-B) uu (B-A) .

Let A={2,4,6,8} and B={6,8,10,12 }. Find A uu B .

Let U = {1,2,3,4,5,6,7,8,9}, A = {1,2,3,4}, B ={2,4,6,8} and C = {3,4,5,6}. Find A'

Let U = {1,2,3,4,5,6,7}, A = {1,5,6} and B = {1,2,6,7}.Find A' and B'

Let U = {1,2,3,4,5,6,7}, A = {1,5,6} and B = {1,2,6,7}Find A cup B

Let U = {1,2,3,4,5,6,7}, A = {1,5,6} and B = {1,2,6,7}Find A cap B

A and B are two events such that P(A)=0.54 , P(B)=0.69 and P(A nn B)=0.35 Find (i) P(A uu B) . (ii) P(A^(prime) nn B^(prime)) (iii) P(A nn B^(prime)) (iv) P(B nn A^(prime))

V PUBLICATION-SETS-QUESTION BANK
  1. Write the set 'X={1, 1/4, 1/9, 1/16, 1/25, …}.' in the set builder for...

    Text Solution

    |

  2. Match each of the set in A described in the roster form with the same ...

    Text Solution

    |

  3. A town has total population. 25000 out of which 13000 read ''The Hindu...

    Text Solution

    |

  4. In a class of 60 boys, there are 45 boys who play cards and 30 boys pl...

    Text Solution

    |

  5. Match each of the set in the roster form with the same set described...

    Text Solution

    |

  6. Describe the following sets by roster method: (i) {x: x^2+5 x+6=0, x...

    Text Solution

    |

  7. Assume that P (A) = P (B).Show that A = B

    Text Solution

    |

  8. Find the smallest set 'Y' such that 'Y ⋃ {1,2}={1,2,3,5,9'}

    Text Solution

    |

  9. If A={1,2,3,4}, B={1,4,5 ,6}, C={4,5,7,8,9} verify that (A uu B) uu C=...

    Text Solution

    |

  10. Show that if A sub B, then C- B sub C - A

    Text Solution

    |

  11. Show that A cap B = A cap C need not imply B = C

    Text Solution

    |

  12. If A={4,5,8,12}, B={1,4,6,9} and C={1,2,4,7,8,10}, then find (i) A...

    Text Solution

    |

  13. Let U={1,2,3,.. ., 10} be the universal set. If A={3,4,6,8}, find A^pr...

    Text Solution

    |

  14. Find A' for A={3,6,7,8}, where universal set 'U' is given by : (i) ...

    Text Solution

    |

  15. Let X={1,2,3,..., 12}, A={4,5,9,11} , B={1,2,4,5,8,9,10, 11,12} Verify...

    Text Solution

    |

  16. Show the following by Venn diagrams: (i) A uu B, A nn B, A-B, B-A, whe...

    Text Solution

    |

  17. Prove that A uuB=A nn B if A=B.

    Text Solution

    |

  18. Let 'A' and 'B' be two finite set such 'that n(A-B)=15, n(A ⋃ B)=90, n...

    Text Solution

    |

  19. In a survey of 600 students in a school,150 students were found to be ...

    Text Solution

    |

  20. Of the number of three athletic teams in a school, 21 are in the baske...

    Text Solution

    |