Home
Class 12
MATHS
Write relations in tabular form and dete...

Write relations in tabular form and determine their type for `R={(x,y) : x "divides" 2- y } "on" A ={1,2,3,4,5}`

Text Solution

Verified by Experts

R`={(x,y):x Divides 2-y } on A `
={1,2,3,4,5}
`={(x,y):2-y "is a multiple of" x }`
`={(1,1),(1,2),(1,3),(1,4),(1,5),(2,2),(2,4),(3,2),(3,5),(4,2),(5,2)}`
R is neither reflexive nor symmetric nor transitive.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MBD PUBLICATION|Exercise QUESTION BANK|171 Videos
  • RELATIONS AND FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|106 Videos

Similar Questions

Explore conceptually related problems

Write relations in tabular form and determine their type for R={(x,y):x "divides" y} on A ={1,2,3,4,5,6}

Write relations in tabular form and determine their type for R ={(x,y): y le x le 4}"on" A ={1,2,3,4,5}.

Write relations in tabular form and determine their type for R={(x,y):2x-y=0} on A={1,2,3,…,13}

Write the relations in tabular form and determine their type. R= {(x, y): y lt= x lt= 4} on A = {1,2,3,4,5)

Express the following relations on A to B in each case in tabular form A = B = R f = {(x,y) : x^2 + y^2 = 1 and abs(x-y) = 1 }

Express the following relations on A to B in each case in tabular form {1,2,3,4}, B = {1,2,3,4,5} f = {(x,y) : 2 divides 3x+y}

Express the following relations on A to B in each case in tabular form : A = { n in N : n le 10 } , B = N f= {(x,y) in A xx B : y = x^2 }

Let A={1, 2, 3, 5}, B={4, 6, 9}, A relation R form A to B is defined by R={(x,y) : x inA,yin B and x-y is odd}.write R in roster form.

Check whether the relation R defined on the set A = {1,2,3,4,5,6} as R = {(x,y):y is divisible by x} is reflexive, symmetric and transitive.

MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
  1. Write relations in tabular form and determine their type for R={(x,y):...

    Text Solution

    |

  2. Write relations in tabular form and determine their type for R={(x,y):...

    Text Solution

    |

  3. Write relations in tabular form and determine their type for R={(x,y) ...

    Text Solution

    |

  4. Write the relations in tabular form and determine their type. R= {(x...

    Text Solution

    |

  5. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  6. Test wheter relations are reflexive, symmetric or transitive on the se...

    Text Solution

    |

  7. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  8. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  9. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  10. Test wheter relations are reflexive, symmetric or transitive on the se...

    Text Solution

    |

  11. List the members of the equivalence relation defined by {{1},{2},{3,4...

    Text Solution

    |

  12. List the members of the equivalence relation defined by {{1,2,3},{4}} ...

    Text Solution

    |

  13. List the members of the equivalence relation defined by {{1,2,3,4}} pa...

    Text Solution

    |

  14. Show that if R is an equivalence relation on X then dom R=rngR =X.

    Text Solution

    |

  15. Given an example of a relation which is reflexive, symmetric but not...

    Text Solution

    |

  16. Given an example of a relation which is reflexive, transitive but n...

    Text Solution

    |

  17. Given an example of a relation which is symmetric, transitive but no...

    Text Solution

    |

  18. Given an example of a relation which is reflexive but neither symmet...

    Text Solution

    |

  19. Given an example of a relation which is transitive but neither refle...

    Text Solution

    |

  20. Given an example of a relation which is an empty relation.

    Text Solution

    |