Home
Class 11
MATHS
If A, B and C are three sets such that A...

If A, B and C are three sets such that `AnnB""=""AnnC` and `AuuB""=""AuuC` , then
(1) `A""=""B` (2) `A""=""C` (3) `B""=""C` (4) `AnnB""=varphi`

Text Solution

Verified by Experts

Since,
`AnnB=AnnC`
`⇒B=C`
and ,
`AuuB=AuuC`
`⇒B=C`
Hence, B = C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos
  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

If A, B and C are three sets such that A nn B = A nn C and AuuB = A uu C , then

If A, B and C are three sets, then A-(B-C) equals to

If A and B are two sets , then (AuuB)^(c) is :

If A, B and C are three finite sets, then what is [(AuuB)nnC] equal to?

If A and B are two sets then prove that (AuuB)'uu(A'nnB)=A'

Three sets A,B and C are such that A=B nn C and B=C nn A

Three sets A,B,C are such that A= B cap C and B=C cup A then

If A and B are two sets, then (AuuB)'uu(A'nnB) is equal to

If A and B are two given sets, then Ann(AnnB)^(@) is equal to :

RD SHARMA-SETS-Solved Examples And Exercises
  1. FOR ANY TWO SETS Aa n dB , show that the following statements are equi...

    Text Solution

    |

  2. If U={2,3,5,7,9} is the universal set and A={3,7},B={2,5,7,9}, then pr...

    Text Solution

    |

  3. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

    Text Solution

    |

  4. In a group of 800 people, 550 can speak Hindi and 450 can speak Eng...

    Text Solution

    |

  5. Let"U"={1,2,3,4,5,6,7,8,9},A={2,4,6,8}a n dB={2,3,5,7}dot Verify that...

    Text Solution

    |

  6. For any two sets A and B , prove that AuuB=AnnBhArrA=B

    Text Solution

    |

  7. The collection of vowels in English alphabets. This set contains five ...

    Text Solution

    |

  8. The collection of first given prime natural numbers is  as set contai...

    Text Solution

    |

  9. The collection of all States in the Indian Union is a set.

    Text Solution

    |

  10. The collection of post presidents of the Indian union is a set.

    Text Solution

    |

  11. The collection of cricketers in the world who were out for 99 runs in ...

    Text Solution

    |

  12. What is the difference between a collection and a set? Give reasons to...

    Text Solution

    |

  13. Which of the following collections are sets? Justify your answer: A co...

    Text Solution

    |

  14. Which of the following collections are sets? Justify your answer: The ...

    Text Solution

    |

  15. Which of the following collections are sets? Justify your answer: The ...

    Text Solution

    |

  16. Which of the following collections are sets? Justify your answer: The ...

    Text Solution

    |

  17. Which of the following collections are sets? Justify your answer: The ...

    Text Solution

    |

  18. The collection of all months of a year beginning with the letter J.

    Text Solution

    |

  19. A collection of novels written by Munshi Prem Chand.

    Text Solution

    |

  20. Which of the following collections are sets? Justify your answer: A co...

    Text Solution

    |