Home
Class 11
MATHS
Let A and B be two sets such that n(A) =...

Let A and B be two sets such that `n(A) = 3 a n d n(B) = 2`. If `(x , 1), (y , 2), (z , 1)`are in A `xx`B. find A and B. where x, y and z are distinct elements.

Text Solution

Verified by Experts

The correct Answer is:
`A={x,y,z},B={1,2}`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ICSE|Exercise EXERCISE 2 (b)|26 Videos

  • RELATIONS AND FUNCTIONS

    ICSE|Exercise EXERCISE 2 (c)|26 Videos

  • RELATIONS AND FUNCTIONS

    ICSE|Exercise EXERCISE 2 (g)|37 Videos

  • RELATION AND FUNCTIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|32 Videos

  • SAMPLE QUESTION PAPER 01

    ICSE|Exercise SECTION C|8 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two sets such that n(A)=3\ a n d\ n(B)=2. if\ (x ,1),\ (y ,2),\ (z ,1)a r e\ in\ AxxB ,\ find \ A\ a n d\ B ,\ w h e r e\ x , y , z are distinct elements.

Let A\ a n d\ B be two sets such that n(A)=3\ a n d\ n(B)=2. If (x , 1),\ (y ,2),\ (z ,1) are in AxxB , write A\ a n d\ Bdot

Let A and B be two sets such that n(A)=5\ a n d\ n(B)=2,\ if\ a ,\ b ,\ c ,\ d ,\ e are distinct and (a ,2),\ (b ,3),\ (c ,2),\ (d ,3),\ (e ,2) are in AxxB , find A and B.

Let A be a set containing n elements. If the number of elements in the set, B={(x,y,z):xepsilon A, yepsilon A, zepsilon A and x,y,z are not all distict) is equal to 280, the n= (A) 8 (B) 10 (C) 20 (D) none of these

If A= {x,y,z}, B=(1,2,3} and R= {(x,2),(y,3),(z,1),(z,2), then find R^(-1) .

If a and b are distinct positive primes such that root(3)(a^6b^(-4))=a^x b^(2y), find x\ a n d\ y .

Let R={(x , y): x , y in Z ,\ y=2x-4} If\ (a,-2)\ a n d\ (4, b^2) in R , then write the values of a and b.

If the points A(3,\ 5)a n d\ B(1,\ 4) lie on the graph of the line a x+b y=7, find the values of a\ a n d\ b

Let A={x ,\ y , z}n d\ B={a , b} . Find the total number of relations from A into B.

If a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

ICSE-RELATIONS AND FUNCTIONS-EXERCISE 2 (a)
  1. If A={1,3,5,7) and B={2,4,6}, find BxxA

    Text Solution

    |

  2. If A={1,3,5,7) and B={2,4,6}, find BxxB

    Text Solution

    |

  3. If A={1,3,5,7) and B={2,4,6}, find n(AxxA)

    Text Solution

    |

  4. If A={1,3,5,7) and B={2,4,6}, find n(AxxB)

    Text Solution

    |

  5. If A={1,3,5,7) and B={2,4,6}, find n(BxxA)

    Text Solution

    |

  6. If A={1,3,5,7) and B={2,4,6}, find n(BxxB)

    Text Solution

    |

  7. If P={m,n) and Q={n,m}, then PxxQ={(m,n),(n,m)}

    Text Solution

    |

  8. {(a,x),(a,y),(b,x),(b,y)} is a product set.

    Text Solution

    |

  9. If n(A)=x and n(B)=y and AcapB=phi then n(AxxB)=xy.

    Text Solution

    |

  10. If A and B are non-empty sets, then AxxB is a non-empty set of ordered...

    Text Solution

    |

  11. Given A={1,2),B={3),C={4,5}, test whether the following are true : A...

    Text Solution

    |

  12. Given A={1,2},B={3},C={4,5}, test whether the following is true: Axx...

    Text Solution

    |

  13. If A={1,2,3,4},B={5,7,9},C={2,4,6}, find (i) AxxB (ii) (BxxC) (iii) ...

    Text Solution

    |

  14. Some elements of AxxB are (a,x),(c,y),(d,z). If A={a,b,c,d}, find the ...

    Text Solution

    |

  15. The ordered pairs (1,1),(2,2),(3,3) are among the elements in the set ...

    Text Solution

    |

  16. If A={1,4},B={2,3,6} and C={2,3,7}, then verify that Axx(BcupC)=(AxxB)...

    Text Solution

    |

  17. If A={1,4},B={2,3,6} and C={2,3,7}, then verify that Axx(BcapC)=(AxxB)...

    Text Solution

    |

  18. If A={2,3},B={1,2,3},C={2,3,4} show that AxxA=(BxxB)cap(CxxC).

    Text Solution

    |

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

    Text Solution

    |

  20. The Cartesian product A xxA has 9 elements among which are found (1...

    Text Solution

    |