Home
Class 11
MATHS
If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} ,...

If `A={1,2,3},\ B={3,4}a n d\ C={1,3,5}` , find `(AxxB)nn(AxxC)`

Text Solution

Verified by Experts

Given,If `A={1,2,3},\ B={3,4}a n d\ C={1,3,5}`
Then` A xxB={(1,3),(1,4),(2,3),(2,4),(3,3),(3,4)}`
` A xxC={(1,1),(1,3),(1,5),(2,1),(2,3),(2,5),(3,1),(3,3),(3,5)}`
` (A xxB) nn (A xxC)={(1,3),(2,3),(3,3)}`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|85 Videos
  • SETS

    RD SHARMA|Exercise Solved Examples And Exercises|218 Videos

Similar Questions

Explore conceptually related problems

If A={1,2,3},B={3,4} and C={1,3,5}, find A xx(B nn C)

If A={1,2,3},B={3,4} and C={1,3,5}, find A xx(B uu C)

_A^( If )={1,2,3},B={1,2,3,4},C={4,5,6},f in d:(A xx B)nn(A xx C)

_A^( If )={1,2,3},B={1,2,3,4},C={4,5,6},f in d:(A xx B)nn(A xx C)

If A={1,2,3},B={3,4}" and "C={4,5,6} then find: (i) Axx(BnnC) (ii) (AxxB)nn(AxxC) (iii) Axx(BuuC) (iv) (AxxB)uu(AxxC)

If A={1,2,3},B={3,4}and C={4,5,6}, "then prove that" (AxxB)uu(AxxC) ={(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5 ),(2,6),(3,3),(3,4),(3,5),(3,6)}

(a) Let A= {1,2,3}, B= [3,4] and C={4,5,6}. Find: (i) (A xx B) nn (A xx C) (b) Let A = {2,4,6}, B= {6,8,10} and C= {10,12,14}. Find B xx (A uu C) (c ) If A = [1,2,3], B= [3,4], C = [4,5,6], find A xx (B uu C)

If A={1,2,3},B={1,2,3,4},C={4,5,6},f in d:A xx(B nn C)

If A ={2,-3} and B={1,3,5} , then find AxxB and BxxA .

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find Axx(BuuC)

    Text Solution

    |

  2. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find Axx(BnnC)

    Text Solution

    |

  3. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find (AxxB)nn(AxxC)

    Text Solution

    |

  4. If A={1,2},\ from the set AxxAxxA

    Text Solution

    |

  5. If R is the set of all real numbers, what do the cartesian products R...

    Text Solution

    |

  6. Let A and B be two sets such that AxxB consists of 6 elements. If thre...

    Text Solution

    |

  7. Let A and B be two sets such that n(A)=5\ a n d\ n(B)=2,\ if\ a ,\ b ,...

    Text Solution

    |

  8. If (a/3-1,\ b-1/3)=(5/3,2/3) , find the values of a\ a n d\ bdot

    Text Solution

    |

  9. If the ordered pairs (x ,-1) and (5, y) belong to the set {(a , b): b=...

    Text Solution

    |

  10. If (x+1,\ 1)=(3,\ y-2), find the value of x and y.

    Text Solution

    |

  11. If a in {2,4,6,9}a n d\ b in {4,6, 18 , 27} , then from the set of al ...

    Text Solution

    |

  12. if A={1,2} and B={1,3}, find AxxB\ a n d\ BxxA.

    Text Solution

    |

  13. If A={1,2,3}a n d\ B={3,4}dot Find AxxB

    Text Solution

    |

  14. If A={1,2,3}a n d\ B={2,4}, find AxxB

    Text Solution

    |

  15. Let A and B be two sets such that n(A)=3\ a n d\ n(B)=2. if\ (x ,1)...

    Text Solution

    |

  16. Let A={1,2,3,4} and\ R={(a , b): a in A , b in A ,\ a divides b} . W...

    Text Solution

    |

  17. State whether each of the following statements are true or false. If t...

    Text Solution

    |

  18. If A={1,2}, form the set AxxAxxAdot

    Text Solution

    |

  19. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - AxxB

    Text Solution

    |

  20. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - AxxB

    Text Solution

    |