Home
Class 11
MATHS
Using properties of sets, show that i) '...

Using properties of sets, show that i) 'A ⋃(A ⋂ B)=A' ii) 'A ⋂(A ⋃ B)=A'

Text Solution

Verified by Experts

i) .A uu(A nn B)=(A uu A) nn(A uu B)=A nn(A uu B)=A.
ii) .A nn(A uu B)=(A nn A) uu(A nn B)=A uu(A nn B)=(A uu A) nn(A uu B)=A nn(A uu B)=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

Using properties of sets,prove that (A uu B)-C=(A-C) uu (B-C) .

Using the properties of sets,prove that A-(B-C)=(A-B) uu (A nn C)

For any sets 'A' and 'B', show that P(A nn B)=P(A) nn P(B)

Show that A uu B=A nn B implies A=B

Using the property of determinants,show that the points A(a,b+c),B(b,c+a), C(c,a+b) are collinear.

Consider the sets phi , A={1,3}, B={1,5,9}, C={1,3,5,7,9}' Insert the symbol subset and not subset between each of the following pair of sets. (i) phi …. B ' (ii) A ... B (iii) A ... C (iv) B ... C

Using properties of determinants, show that abs[[a,a^2,b+c],[b,b^2,c+a],[c,c^2,a+b]]=(b-c)(c-a)(a-b)(a+b+c)

If A and B are non-empty sets such that A sup B , then a) B' - A' = A-B b) B'-A' = B-A c) A'-B' = A - B d) A' cap B' = B- A

Let ' A'. and 'B' be independent events with 'P(A)=0 .3' and 'P(B)=0.4'. Find i) 'P(A nn B)' ii) 'P(A uu B)' iii) 'P(A | B)' iv) 'P(B | A)'

Let A be a non - empty set such that A xx B=A xx C show that B=C

V PUBLICATION-SETS-QUESTION BANK
  1. Is it true that for any sets A and B , P (A) cup P (B) = P(A cup B)? J...

    Text Solution

    |

  2. Show that for any sets A and B. A=(A cap B) cup (A - B) and A cup(B - ...

    Text Solution

    |

  3. Using properties of sets, show that i) 'A ⋃(A ⋂ B)=A' ii) 'A ⋂(A ⋃ B)=...

    Text Solution

    |

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

    Text Solution

    |

  5. Let A and B be sets. If A cap X = B cap X = phi and A cup X = B cup X ...

    Text Solution

    |

  6. Find sets A,B and C such that A cap B,B cap C and A cap C are non-empt...

    Text Solution

    |

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

    Text Solution

    |

  8. In a group of students, 100 students know Hindi, 50 know English and 3...

    Text Solution

    |

  9. In a suryey of 60 people, it was.found that 25 people read newspaper' ...

    Text Solution

    |

  10. In a survey it was found that 21 people liked product A,26 liked produ...

    Text Solution

    |

  11. In a class of 35 students, 17 have taken mathematics, 10 have taken mä...

    Text Solution

    |

  12. In a group of 800 people, 550 can speak Hindi and 450 can speak Englis...

    Text Solution

    |

  13. If 'A' and 'B' ' be two sets containing 3 and 6 elements respectively,...

    Text Solution

    |

  14. If 'U={1,3,5,7,9,11,13,15}, A={1,5,11,13 , 15}', Find A'.

    Text Solution

    |

  15. If 'A={1,2,3} , B={3,4,-5}, C={1,8,9}'. Construct a ụniversal set 'U'

    Text Solution

    |

  16. Which of the following sets are empty sets? i) A={x: x^2-3=0. and x ...

    Text Solution

    |

  17. Write the following sets in roster form and identify equal sets ( if a...

    Text Solution

    |

  18. State which of the following sets are finite and which are infinite: ...

    Text Solution

    |

  19. Write the set 'A={ x: x in Z, x^2 < 20}' in the roster form.

    Text Solution

    |

  20. Write the set 'X={1, 1/4, 1/9, 1/16, 1/25, …}.' in the set builder for...

    Text Solution

    |