Home
Class 12
MATHS
Let A be the set of first ten natural nn...

Let A be the set of first ten natural nnumbers and let R be relation on A defined by `(x,y)inR'x+2y=10`, i.e. `R={(x,y):x inAandx+2y=10}`. Express `RandR^(-1)` as sets of ordered pairs. Determine also (i) domains of `RandR^(-1)` (ii) ranges of `RandR^(-1)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Problem Set (3) (FUNCTIONS AND MAPPING)|39 Videos
  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos
  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Problem Set (1)|72 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos
  • CORRELATION AND REGRESSION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

Similar Questions

Explore conceptually related problems

Let A be the set of first five natural numbers and let R be a relationobn A defined as follows (x,y)in R hArr x<=y. Express R and R^(-1) as sets of ordered pairs.Determine also The domain of R^(-1) The range of R.

Let A be the set of first ten natural number. Let R be a binary relaion on A, defined by R={(a,b):a,binA" and "a+2b=10}. Express R and R^(-1) as sets of ordered pairs. Show that (i) dom (R)=range (R^(-1)) (ii) range (R)=dom(R^(-1)) .

Let R be a relation on N defined by R={(x,y):2x+y=10}, then domain of R is

Let R be a relation in N defined by (x,y)in Rhat harr_(x)+2y=8. Express R and R^(-1) as sets of ordered pairs.

A is a set of first 10 natural numbers and R is a relation from A to A defined as: (x,y) in R hArr x+2y=10 when x,y in A (i)Express R in the form of a set of ordered pairs. (ii) Find the domain and range of R. (iii) Find R^(-1) .

Let R be a relation on N defined by R={(x,y):x+2y=8). Then domain of R is

Let R be a relation on N defined by x+2y=8. The domain of R is

Let R be a relation in N defined by R={(x, y):2x+y=8} , then range of R is

Let A be the set of all children in the worid andR be a relation in A defined by x R y if x andyhave same sex.Then R is

ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (2) (RELATIONS)
  1. If R be a relation from A = {1,2,3,4} to B= {1,3,5} i.e., (a,b) in R...

    Text Solution

    |

  2. If X={1,2,3,4,5)andY={1,3,5,7,9}, determine which of the following are...

    Text Solution

    |

  3. Let A be the set of first ten natural nnumbers and let R be relation o...

    Text Solution

    |

  4. Three relations R(1),R(2)andR(3) are defined on set A={a,b,c} as follo...

    Text Solution

    |

  5. Three relations R(1),R(2)andR(3) are defined on set A={a,b,c} as follo...

    Text Solution

    |

  6. Three relations R(1),R(2)andR(3) are defined on set A={a,b,c} as follo...

    Text Solution

    |

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

    Text Solution

    |

  8. Let A=(1,2,3,4}, and let R={(2,2),(3,3),(4,4),(1,2)} be a relation on ...

    Text Solution

    |

  9. If A={a,b,c,d},B=(p,q,r,s), then which of the following are relations ...

    Text Solution

    |

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

    Text Solution

    |

  11. Let R be a relation on I (the ste of integers) defined as m R n (m,nin...

    Text Solution

    |

  12. Let R be a relation defined by R = {(a, b) : a ge b}, where a and b a...

    Text Solution

    |

  13. The relation R defined in N as aRbimpliesb is divisible by a is

    Text Solution

    |

  14. An integer m is said to be related to another integer n if m is a m...

    Text Solution

    |

  15. If alpha,beta be straight lines in a plane, then check R(1)andR(2) for...

    Text Solution

    |

  16. Let n be a fixed positive integer. Define a relation R on I (the set o...

    Text Solution

    |

  17. Consider the non-empty set consisting of children in a family. State g...

    Text Solution

    |

  18. Consider the non-empty set consisting of children in a family. State g...

    Text Solution

    |

  19. Let S be the set of all points in a plane. Let R be a relation on S s...

    Text Solution

    |

  20. N is the set of natural numbers. The relation R is defined on NxxN as ...

    Text Solution

    |