Home
Class 12
MATHS
An integer m is said to be related to an...

An integer m is said to be related to another integer n if m is a integral multiple of n. This relation in Z is reflexive, symmetric and transitive.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • PROBABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|467 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Give an example of a relation which is reflextive and symmetric but not transitive.

Give an example of a relation. Which is: Reflexive and symmetric but not transitive.

Give an example of a relation, which is Reflexive, but neither Symmetric nor Transitive.

Give an example of a relation which is reflexive and transitive but not symmetric.

Give an example of a relation which is symmetric and transitive but not reflexive.

Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : reflexive and symmetric but not transitive.

Give an example of relation which is Reflexive and transitive but not symmetric

Every relation which is symmetric and transitive is also reflexive.

The given relation is defined on the set of real numbers. a R b iff |a| = |b| . Find whether these relations are reflexive, symmetric or transitive.

Give an example of a relation. Which is: Symmetric but neither reflexive nor transitive.

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let A = {0, 1} and N be the set of natural numbers. Then the mapping f...

    Text Solution

    |

  2. True or False statements : The binary operation * defined in Z by a ...

    Text Solution

    |

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

    Text Solution

    |

  4. Let R be a relation from a set A to a set B, then:

    Text Solution

    |

  5. True or False statements : Composition of functions is associative.

    Text Solution

    |

  6. True or False statements : The function f : R rarr R defined by f(x)...

    Text Solution

    |

  7. Let f : A rarr B and g : B rarr C be onto functions, show that gof is ...

    Text Solution

    |

  8. Let f : A rarr B and g : B rarr C be onto functions, show that gof is ...

    Text Solution

    |

  9. For all sets A, B and C, if A⊂ C and B ⊂ C,then A∪ B ⊂ C.

    Text Solution

    |

  10. Match the following : .

    Text Solution

    |

  11. Consider the set A = (a,b). The smallest equivalence relation that can...

    Text Solution

    |

  12. Consider the set A = (1,2). Which of the following relations on A is s...

    Text Solution

    |

  13. Let A be a finite set containing n distinct elements. The number of re...

    Text Solution

    |

  14. Let T be the set of all triangles in the Euclidean plane, and let a re...

    Text Solution

    |

  15. Consider the non-empty set consisting of children in a family and a re...

    Text Solution

    |

  16. If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then ...

    Text Solution

    |

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

    Text Solution

    |

  18. Let R be the relation defined on the set N of natural numbers by the r...

    Text Solution

    |

  19. Let A = (a,b,c) and R = (a,a), (b,b), (c,c), (b,c), (a,b) be a relatio...

    Text Solution

    |

  20. Let A = {1, 2, 3} and consider the relation, R = {1, 1}, (2, 2), (3, 3...

    Text Solution

    |