Home
Class 12
MATHS
If A={1,\ 2,\ 3,\ 4} define relations on...

If `A={1,\ 2,\ 3,\ 4}` define relations on `A` which have properties of being reflexive, symmetric and transitive.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|449 Videos
  • SCALAR OR DOT PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|233 Videos

Similar Questions

Explore conceptually related problems

If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of being reflexive, transitive but not symmetric.

If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of being symmetric but neither reflexive nor transitive.

If A = {1, 2, 3, 4}, define relations on A which have properties of being (i) reflexive, transitive but not symmetric. (ii) symmetric but neither reflexive nor transitive. (iii) reflexive, symmetric and transitive.

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

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

Let R={(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation the set A= {1, 2, 3, 4} . The relation R is (a). a function (b). reflexive (c). not symmetric (d). transitive

If A={a ,\ b ,\ c} , then the relation R={(b ,\ c)} on A is (a) reflexive only (b) symmetric only (c) transitive only (d) reflexive and transitive only

In the set of straight lines in a plane, for the relation 'perpendicular' check whether it is reflexive, symmetric and transitive.

Let A = {1, 2, 3} Then number of relations containing (1, 2)" and "(1, 3) which are reflexive and symmetric but not transitive is (A) 1 (B) 2 (C) 3 (D) 4

Let A = {1, 2, 3} Then number of relations containing (1, 2) a n d (1, 3) which are reflexive and symmetric but not transitive is (A) 1 (B) 2 (C) 3 (D) 4

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

    Text Solution

    |

  2. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

    Text Solution

    |

  3. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

    Text Solution

    |

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

    Text Solution

    |

  5. Is it true that every relation which is symmetric and transitive is...

    Text Solution

    |

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

    Text Solution

    |

  7. Show that the relation "geq" on the set R of all real numbers is refle...

    Text Solution

    |

  8. Give an example of a relation which is reflexive and symmetric but ...

    Text Solution

    |

  9. Give an example of a relation which is reflexive and transitive but...

    Text Solution

    |

  10. Give an example of a relation which is symmetric and transitive but...

    Text Solution

    |

  11. Give an example of a relation which is symmetric but neither reflex...

    Text Solution

    |

  12. Give an example of a relation which is transitive but neither refle...

    Text Solution

    |

  13. Given the relation R={(1,\ 2),\ (2,\ 3)} on the set A={1,\ 2,\ 3} , ad...

    Text Solution

    |

  14. Let A={1,\ 2,\ 3} and R={(1,\ 2),\ (1,\ 1),\ (2,\ 3)} be a relation on...

    Text Solution

    |

  15. Let A={a , b , c) and the relation R be defined on A as follows: R={(a...

    Text Solution

    |

  16. Each of the following defines a relation on N : (i) x+y=...

    Text Solution

    |

  17. Let R be a relation on the set of all lines in a plane defined by (l...

    Text Solution

    |

  18. Show that the relation ‘is congruent to’ on the set of all triangle...

    Text Solution

    |

  19. Show that the relation R defined on the set A of all triangles in a pl...

    Text Solution

    |

  20. Let n be a positive integer. Prove that the relation R on the set Z o...

    Text Solution

    |