Home
Class 11
MATHS
If R is a relation from set A={11 , 12 ,...

If `R` is a relation from set `A={11 , 12 , 13}` to set `B={8, 10 , 12}` defined by `y=x-3,` then write `R^(-1)dot`
A.`{(8,11),(10,13)}`
B. `{(8,11),(10,12)}`
C. `{(10,13),(10,11)}`
D. none of these
ANSWER: A

Text Solution

Verified by Experts

Given,Relation is defined as ` {y = x – 3}`
so,x = 11, y = 8
x = 12, y = 9
x = 13, y = 10
The ordered pairs are` (11, 8), (13, 10)`
(12, 9) is not an ordered pair as it doesn’t belong to the set.
R =` {(11, 8), (13, 10)}`
`R^(-1) = {(8, 11), (10, 13)}`
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

R is a relation from {11, 12, 13} to {8, 10, 12} defined by y=x-3 . Then, R^(-1) is (a) {(8, 11), (10, 13)} (b) {(11, 8), (13, 10)} (c) {(10, 13), (8, 11), (8, 10)} (d) none of these

{:(8,13,10),(7,12,9),(10,15,?):}

{:(9,11,13),(13,15,17),(10,12,14),(14,16,18),(11,13,?):}

11.8, 11.9, 12, 12.3, 13.8, 24.4, 118.8

The relation R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)} on a set A={1, 2, 3} is

Find the inverse relation R^(-1) in each of the following cases: R: is a relation from {11,12,13}rarr{8,10,12} defined by y=x-3

Find the median of the data 9, 12, 11, 10, 8, 9

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

    |