Home
Class 11
MATHS
If A={1,2},B={3,4}a n dC={4,5,6}dotT h e...

If `A={1,2},B={3,4}a n dC={4,5,6}dotT h e n ,` `AxxB={1,2}xx{3,4}={(1,3),(1,4),(2,3),(2,4)}`

Text Solution

Verified by Experts

Given ,`A={1,2},B={3,4} and C={4,5,6}`
now` A xx B={(a,b),a in A,b in B}`
`AxxB={1,2}xx{3,4}={(1,3),(1,4),(2,3),(2,4)}`
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={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={1,2,3},B={3,4} and C={4,5,6} . Then, A xx ( B cup C ) is equal to

_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)

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Let A={1,2,3}and B={x : x in N ,x is prime less than 5}. Find AxxBa...

    Text Solution

    |

  2. If AxxB={(a ,1)(a ,5),(a ,2),(b ,2),(b ,5),(b ,1)}, find BxxAdot

    Text Solution

    |

  3. If A={1,2},B={3,4}a n dC={4,5,6}dotT h e n , AxxB={1,2}xx{3,4}={(1,3)...

    Text Solution

    |

  4. Findxa n dy , if (x+3,5)=(6,2x+y)dot

    Text Solution

    |

  5. If A={a ,b} and B={1,2,3}, find AxxB ,BxxA and (AxxB)nn(BxxA)

    Text Solution

    |

  6. If A={1,2,3},B={4},C={5}, then verify that: Axx(BuuC)=(AxxB)uu(AxxC)

    Text Solution

    |

  7. A relation R is defined from a set A={2,3,4,5} to a set B=3,6,7,10 as ...

    Text Solution

    |

  8. For any sets A ,B ,C ,D prove that: (AxxB)nn(CxxD)=(AnnC)xx(BnnD)

    Text Solution

    |

  9. For any three sets A ,B ,C prove that: A-(B uu C)=(A-B)nn(A-C)

    Text Solution

    |

  10. Theorem 9(A and B are two non empty set having n element in common ; t...

    Text Solution

    |

  11. Let A be a non-empty set such that AxxB=AxxC . Show that B=C .

    Text Solution

    |

  12. Let R be the relation on the set N of natural numbers defined by R={(a...

    Text Solution

    |

  13. If R is the relation "less than" from A={1,2,3,4,5} to B={1,4,5}, writ...

    Text Solution

    |

  14. A relation R is defined on the set Z of integers as: (x ,y) in R x^2...

    Text Solution

    |

  15. For the relation R1 defined on R by the rule (a ,b) in R1:1+ab >...

    Text Solution

    |

  16. Find the values of a\ a n d\ b ,\ if\ (3a-2,\ b+3)=(2a-1,\ 3)dot

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |