Home
Class 12
MATHS
If X={1,2,3,4,5)andY={1,3,5,7,9}, determ...

If `X={1,2,3,4,5)andY={1,3,5,7,9}`, determine which of the following are relations from X to Y.
(a) `R_(1)={(x,y):y=x+2,x inX,yinY}`
(b) `R_(2)={(1,1),(2,1),(3,3),(4,3),(5,5)}`
(c) `R_(3)={(1,1),(1,3),(3,5),(3,7),(5,7)}`
(d) `R_(4)={(1,3),(2,5),(4,7),(5,9),(3,1)}`

Text Solution

Verified by Experts

The correct Answer is:
`R_(1)={(1,3),(2,4),(3,5),(4,6),(5,7)}`
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 X={1,2,3,4,5} and Y={1,3,5,7,9} . Which of the following is not a relation from X to Y

Let X={1,2,3,4} and Y={1,3,5,7,9} Which of the following is relations from X to Y

If X={1,2,3,4,5) and Y={1,3,5,7,9) determine which of the following sets represent are lation and also a mapping.

If A={1,2,3,4,5} , then find the domain in the relation from A to A by R={(x,y):y=2x-1} .

Which of the following relations are functions? Give reason. If it is a function, determine its domain and range. (i) R= {(2,1), (3,1), (4,2), (5,7), (6,9)} (i) R = {(2,2), (2,4),(3,3),(4,4),(5,8)} (iii) R={(1,3),(1,5),(2,5),(3,6),(3,7)}

There are three relations R_(1) , R_(2) and R_(3) such that R_(1) = {(2,1),(3,1),(4,2)} , R_(2) = {(2,2),(2,4),(3,3),(4,4)} and R_(3) = {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} then

which of the following relations are functions from A={1,3,5,7,9} to B={1,2,3,4,5} f={(3,2),(1,5),(5,1),(7,4),(9,5)}

ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (2) (RELATIONS)
  1. Let a relation R be defined by R={(4,5),(1,4),(4,6),(7,6),(3,7)}. Fi...

    Text Solution

    |

  2. If R be a relation from A = {1,2,3,4} to B= {1,3,5} i.e., (a,b) in R...

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |