Home
Class 11
MATHS
Three sets A,B and C are such that A=B n...

Three sets `A,B` and `C` are such that `A=B nnC`and`B=CnnA`

A

`A sub B`

B

`A sup B`

C

`A=B`

D

`AsubB'`

Text Solution

AI Generated Solution

To solve the problem where we have three sets \( A, B, \) and \( C \) such that \( A = B \cap C \) and \( B = C \cap A \), we will follow these steps: ### Step 1: Understand the given equations We are given: 1. \( A = B \cap C \) 2. \( B = C \cap A \) ### Step 2: Substitute the second equation into the first ...
Promotional Banner

Topper's Solved these Questions

  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|45 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos
  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|34 Videos

Similar Questions

Explore conceptually related problems

Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty sets and A nnB nnC=varphi .

Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty sets and A nnB nnC=varphi .

For all sets A,B and C show that (A-B)nn(A-C)=A-(BuuC)

Let A , B and C be the sets such that A uu B=A uu C and A nn B = A nn C . show that B=C

Let A , B and C be the sets such that A uu B=A uu C and A nn B = A nn C . show that B=C

Give an example of three matrices A ,\ B ,\ C such that A B=A C but B!=C .

Give an example of three matrices A ,\ B ,\ C such that A B=A C but B!=C .

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

For all sets A, B and C, if A sub B , then A nn C sub B nn C .

For any three sets A,B, and C,(A-B)nn(C-B) is equal to (i) A-(BnnC) (ii) (A-C)nnB (iii) (AnnC)-B (iv) (A-B)nnC

OBJECTIVE RD SHARMA ENGLISH-SETS-Section I - Solved Mcqs
  1. if A and B are two sets them (A-B)cup (B-A)cup (AcapB)is equal to

    Text Solution

    |

  2. if A,B,C be three sets such that A cup B=A cupC and Acap B=Acapc=...

    Text Solution

    |

  3. Let A and B be two sets that Acap X =Bcap X=phi and Acup X=Bcup X ...

    Text Solution

    |

  4. If U be the universal set and AuuBuuC=U,"then "[(A-B)uu(B-C)uu(C-A)'] ...

    Text Solution

    |

  5. The sets S and E are defined as given below: S={(x,y): |x-3|lt1and|y...

    Text Solution

    |

  6. if A={(x,y):x^(2)+y^(2)le1,x,yinR]and B={(x,y):x^(2)+y^(2)le x^(2)+y...

    Text Solution

    |

  7. Solve : 2 cos^(2)theta + sin theta le 2, where pi/2 le theta le (3pi)...

    Text Solution

    |

  8. 20 teachers of a school either teach mathematics or physics 12 of ...

    Text Solution

    |

  9. A market research group conducted a survey of 2000 consumers and re...

    Text Solution

    |

  10. A college warded 38 medals in football, 15 in basketball and 20 in ...

    Text Solution

    |

  11. In a class of 55 students the number of students studying subject...

    Text Solution

    |

  12. If A={x,y):x^(2)+y^(2)=25} and B={(x,y):x^(2)+9y^(2)=144}, then A ...

    Text Solution

    |

  13. If n(A) = 10,n(B) = 6 and n( C ) =5 for three disjoint sets A,B...

    Text Solution

    |

  14. in a certain town 25% families own a cell phone 15% familesown ...

    Text Solution

    |

  15. Three sets A,B and C are such that A=B nnCandB=CnnA

    Text Solution

    |

  16. If A = {x , y}, then the power set of A is

    Text Solution

    |

  17. the intersection of all the intervals having the form [1+(1)/(...

    Text Solution

    |

  18. The value of (A cup B cup C) cap (A cap B^(C)capC^(C)) cap C^(C) is

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. If A and B are two sets containing 2 elements and 4 elements, resp...

    Text Solution

    |