Home
Class 12
MATHS
A relation R is defined on the set Z of ...

A relation `R` is defined on the set `Z` of integers as: `(x ,y) in R x^2+y^2=25` . Express `Ra n dR^(-1)` as the sets of ordered pairs and hence find their respective domains.

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

A relation R is defined on the set Z of integers as: (x,y)in Rhat Theta x^(2)+y^(2)=25. Express R and R^(-1) as the sets of ordered pairs and hence find their respective domains.

A relation R is defined from the set of integer Z to Z as follows: (x,y) in Z hArr x^(2) + y^(2)=25 (i) Express R and R^(-1) as the set of ordered pairs. (ii) Write the domain of R and R^(-1) .

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.

The relation S is defined on the set of integers Z as xSy if integer x devides integer y. Then

A relation R is defined in the set Z of integers as follows (x, y ) in R iff x^(2) + y^(2) = 9 . Which of the following is false ?

A relation R is defined over the set of non-negative integers as xRyimpliesx^(2)+y^(2)=36 what is R?

What type of relation does R define on the set of integers, if x+y=8?

Write the domain of the relation R defined on the set Z of integers as follows: (a,b)in R hArr a^(2)+b^(2)=25

ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (2) (RELATIONS)
  1. Let A=(1,2,3,4}, and let R={(2,2),(3,3),(4,4),(1,2)} be a relation on ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. N is the set of positive intergers and ~ be a relation on NxxN defined...

    Text Solution

    |

  15. The following relation is defined on the set of real numbers. A R b if...

    Text Solution

    |

  16. If R be a relation a R b if 1+abgt0. What about equivalence relation ?

    Text Solution

    |

  17. A relation R on the set of complex numbers is defined by z1 R z2 if ...

    Text Solution

    |

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

    Text Solution

    |

  19. On the set of all points in a plane, the relation defined by the phras...

    Text Solution

    |

  20. A function R on the set N of natural numbers is defined as R={[2n,2n+1...

    Text Solution

    |