Home
Class 11
MATHS
If A={1,2,3},\ B={3,4,5},\ C={4,6},\ fin...

If `A={1,2,3},\ B={3,4,5},\ C={4,6},\ fin d\ :(AxxB)nn(AxxC)`

Text Solution

Verified by Experts

Given,`A={1,2,3},\ B={3,4,5},\ C={4,6}`
now,`A xx B = {1 , 2 , 3 } xx {3 , 4 , 5}`
` = {(1 , 3), (1 , 4), (1 , 5), (2 , 3), (2 , 4), (2 , 5), (3 , 3), (3 , 4), (3 , 5)}`
`A xx C = {1 , 2 , 3 } xx {4 , 6}`
` = {(1 , 4), (1 , 6), (2 , 4), (2 , 6), (3 , 4), (3 , 6)}`
...
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

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

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

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

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={4,5,6} then find: (i) Axx(BnnC) (ii) (AxxB)nn(AxxC) (iii) Axx(BuuC) (iv) (AxxB)uu(AxxC)

(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={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)}

If A={3,4},B={5,6},C={8} then find (A xx B)nn(B xx C)

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8} . Verity that: A...

    Text Solution

    |

  2. If A={1,2,3},\ B={3,4},\ C={4,5,6},\ fin d\ : Axx(BnnC)

    Text Solution

    |

  3. If A={1,2,3},\ B={3,4,5},\ C={4,6},\ fin d\ :(AxxB)nn(AxxC)

    Text Solution

    |

  4. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ fin d\ : Axx(BuuC)

    Text Solution

    |

  5. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ fin d\ :(AxxB)nn(AxxC)

    Text Solution

    |

  6. If A={a , b ,\ c , d},\ B={p , q , r , s} than is the following relati...

    Text Solution

    |

  7. If A={a , b ,\ c , d},\ B={p , q , r , s} than Is the following relati...

    Text Solution

    |

  8. If A={a , b ,\ c , d},\ B={p , q , r , s} than Is the following relati...

    Text Solution

    |

  9. If A={a , b ,\ c , d},\ B={p , q , r , s} than is the following relati...

    Text Solution

    |

  10. If A={1,3,5,7},\ B={2,4,6,8, 10} and let R={(1,8),(3,6),(5,2),(1,4)} b...

    Text Solution

    |

  11. If R is a relation from set A={2,4,5} to set B={1,2,3,4,6,8} defined b...

    Text Solution

    |

  12. If A={1,2,3},\ B={4,5,6} Is the following ralation from A\ to\ B ? Giv...

    Text Solution

    |

  13. If A={1,2,3},\ B={4,5,6} Is the following relation from A\ to\ B ? Giv...

    Text Solution

    |

  14. If A={1,2,3},\ B={4,5,6} Is the following relatios from A\ to\ B ? Giv...

    Text Solution

    |

  15. If A={1,2,3},\ B={4,5,6} then, Is the following relation from A\ to\ ...

    Text Solution

    |

  16. Let A={1,2,3,4,5,6}dot Define a relation R on set A by R={(x , y): y=x...

    Text Solution

    |

  17. Figure 2.14 shows a relation R between the sets P\ a n d\ Q . Write th...

    Text Solution

    |

  18. Let R be a relation in N defined by R={(a , b); a , b in N\ a n d\ a=...

    Text Solution

    |

  19. A relation R is defined from a set A={2,3,4,5}to\ a\ s e t\ B={3,6,7, ...

    Text Solution

    |

  20. Let A\ be the set of first five natural numbers and let R be a relati...

    Text Solution

    |