Home
Class 11
MATHS
If A and B are two disjoint sets, then n...

If A and B are two disjoint sets, then `n(AuuB)` is equal to `n(A)+n(B)` b. `n(A)+n(B)-n(AnnB)` c. `n(A)+n(B)+n(AnnB)` d. `n(A)n(B)`

Text Solution

AI Generated Solution

To solve the problem, we need to determine the value of \( n(A \cup B) \) given that sets A and B are disjoint. ### Step-by-step Solution: 1. **Understanding Disjoint Sets**: - Disjoint sets are sets that have no elements in common. This means that the intersection of A and B, denoted as \( A \cap B \), is empty. Therefore, \( n(A \cap B) = 0 \). 2. **Using the Formula for Union of Sets**: ...
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 and B are two disjoint sets,then n(A uu B) is equal to

If A and B are two sets, then n(A)+ n(B) is equal to

If A and B are disjoint sets, then n (^^DeltaB) = "____" .

If A and B are two disjoint sets n(A)+n(B)=24 then find n(A cup B)

If A;B and C are finite sets and U be the universal set then n(A Delta B)=n(A)+n(B)-2n(A nn B)

If A and B are two non empty sets the prove the following1.n(AuuB)=n(A)+n(B)-n(AnnB) ." " 2. nAuuBuuC)=n(A)+n(B)+n(C)-n(AnnB)-n(BnnC)-n(Cnna)+n(AnnBnnC)

If A and B are two sets such that n(A uu B)=50,n(A)=28 and n(B)=32 find n(A nn B).

Let A and B be two nonempty sets such that n(A)=5,n(B)=6 and n(AnnB)=3. Find (i) n(AxxB), (ii) n(BxxA)" and "(iii) n{(AxxB)nn(BxxA)}.

RD SHARMA-SETS-Solved Examples And Exercises
  1. If A={(x ,\ y): y=e^x ,\ x in R}a n d\ B={(x , y): y=x, x in R} , th...

    Text Solution

    |

  2. If A and B are two sets such that n(A)=20 ,\ n(B)=24\ a n d\ n(AuuB)=4...

    Text Solution

    |

  3. If A and B are two sets such that n(A)=115 ,\ n(B)=326 ,\ n(A-B)=47 , ...

    Text Solution

    |

  4. For any set A ,(A ')' is equal to a.A ' b. A c. phi d. none of these

    Text Solution

    |

  5. Let A and B be two sets in the same universal set. Then, A-B= a.A\ n...

    Text Solution

    |

  6. The number of all possible subsets of a set containing n elements ?

    Text Solution

    |

  7. For any two sets A and B Ann(AuuB)= B b. A c. phi d. none of these

    Text Solution

    |

  8. If A={1,3,5, B}a n d\ B={2,4} , then 4 in A b. {4}subA c. BsubA d. no...

    Text Solution

    |

  9. the symmetric difference of A and B is not equal to (A-B)nn(B-A) (...

    Text Solution

    |

  10. The symmetric difference of A={1,2,3}a n d\ B={3,4,5} is {1,2} b. {1,...

    Text Solution

    |

  11. For any tow sets A and B, (A-B)uu(B-A)= a.(A-B)uuA b. (B-A)uuB c. (...

    Text Solution

    |

  12. Which of the following statement is false: a .A-B=A-(AnnB) b. A-B=A-(...

    Text Solution

    |

  13. Choose the correct answer: 1. If A, B and C are three sets and U is th...

    Text Solution

    |

  14. Let A={x : x in R ,\ x >4} and \ B={x in R : x<5} . Then AnnB= (a) ...

    Text Solution

    |

  15. Let A and B be two sets such that n(A)=16 ,\ n(B)=14 , n(AuuB)=25. The...

    Text Solution

    |

  16. In set builder method the null set is represented by {} b. phi c. {x :...

    Text Solution

    |

  17. If A and B are two disjoint sets, then n(AuuB) is equal to n(A)+n(B) b...

    Text Solution

    |

  18. If A and B are two sets such that n(A)=70 ,\ n(B)=60 ,\ n(AuuB)=110 ,\...

    Text Solution

    |

  19. If A = {x : x is a multiple of 3)and, B ={x : x is a multiple of }, th...

    Text Solution

    |

  20. If AnnB=B , then a.AsubeB b. BsubeA c. A=phi d. B=phi

    Text Solution

    |