Home
Class 11
MATHS
Let A\ a n d\ B be two sets such that n(...

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`

Text Solution

Verified by Experts

Given
`n(A)=3\ a n d\ n(B)=2.`
`(x , 1),\ (y ,2),\ (z ,1)` are in `AxxB ,`
so,
`A={x,y,z}`
`B={1,2}`
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

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 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.

Let A and B be two sets such that n(A)=3 and n(B)=2. If anebnec" and "(a,0),(b,1),(c,0) are in AxxB , find A and B.

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.

If Aa n dB are two sets such that n(A)=150 ,n(B)=250 a n d n(AuuB)=300. Find n(A-B) a n d n(B-A)dot

Let A and B be two sets such that n(A)=5,n(B)=3" and "n(AnnB)=2. (i) n(AuuB)" "(ii) n(AxxB)" "(iii) n{(AxxB)nn(BxxA)} Hint (i) n(AuuB)=n(A)+n(B)-n(AnnB). (ii) n(AxxB)=n(A).n(B) (iii) If n(AnnB)=m" then "n{(AxxB)nn(BxxA)}=2^(m).

If A and B be two sets such that n(A)=3,n(B)=4" and "n(AnnB)=2 then find: (i) n(AxxB)" " (ii) n(BxxA)" "(iii) n{(AxxB)nn(BxxA)}

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)}.

If a\ a n d\ b are two numbers such that a b\ =\ 0 , then (a) a\ =\ 0\ a n d\ b\ =\ 0 (b) a\ =\ 0\ or\ b\ =\ 0 (c) a\ =\ 0\ a n d\ b!=0 (d) b\ =\ 0\ a n d\ a!=0

Let A and B be two sets having 3 elements in common. If n (A) = 5 and n (B) = 4 , then n((AxxB)nn(BxxA)) =

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Write the relation R={(x , x^3): x is a prime number less than 10} in ...

    Text Solution

    |

  2. Let A={1,2,3,4,5,6}dot Let R be a relation on A defined by R={(a , b):...

    Text Solution

    |

  3. Figure 2.15 shows a relationship between the sets P\ a n d\ Q . Write ...

    Text Solution

    |

  4. Let R be the relation on Z defined by R={(a , b): a , b in Z , a-b is ...

    Text Solution

    |

  5. Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ f...

    Text Solution

    |

  6. If A={1,2,4},\ B={2,4,5}a n d\ C={2,5},\ write (A-C)xx(B-C)dot

    Text Solution

    |

  7. If n(A)=3, n(B)=4, then write n(AxxAxxB) .

    Text Solution

    |

  8. If R is a relation defined on the set Z of integers by the rule (x , y...

    Text Solution

    |

  9. If R={(x , y): x , y in Z ,\ x^2+y^2lt=4} is a relation defined on th...

    Text Solution

    |

  10. If R is a relation from set A={11 , 12 , 13} to set B={8, 10 , 12} def...

    Text Solution

    |

  11. Let R={(x , y): x , y in Z ,\ y=2x-4}dotIf\ (a,-2)\ a n d\ (4, b^2) ...

    Text Solution

    |

  12. If A={1,3,5}a n d\ B={2,4} list the elements of R ,\ if\ R={(x , y): x...

    Text Solution

    |

  13. If R={(x , y): x , y in W ,2x+y=8} ., then write the domain and range...

    Text Solution

    |

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

    Text Solution

    |

  15. If A={1,2,3},\ B="{"1,4,6,9"]"a n d\ R is a relation from A to B defin...

    Text Solution

    |

  16. If R={(x , y): x , y in Z , x^2+y^2lt=4} is a relation on Z,\ then d...

    Text Solution

    |

  17. A relation varphi from C\ to\ R is defined by xvarphiyhArr|x|=ydot Whi...

    Text Solution

    |

  18. Let R be a relationon N defined by x+2y=8. The domain of R is (a...

    Text Solution

    |

  19. Let R be a relation from a set A\ to a set B, then R=AuuB b. R=AnnB ...

    Text Solution

    |

  20. If R is a relation from a finite set A having m elements to a finite s...

    Text Solution

    |