Home
Class 12
MATHS
Define a symmetric relation....

Define a symmetric relation.

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

Statement-1: If R is an equivalence relation on a set A, then R^(-1) is also an equivalence relation. Statement-2: R = R^(-1) iff R is a symmetric relation.

If R is a symmetric relation on a set A , then write a relation between R and R^(-1) .

Define a symmetric matrix. Prove that for A=[2 4 5 6] , A+A^T is a symmetric matrix where A^T is the transpose of Adot

Assertion and Reason type questions :Consider the following statements, p: Every reflexive relation is a symmetric relation, q: Every anti-symmetric relation is reflexive.Which of the following is/ are true?

Assertion and Reason type questions :Consider the following statements, p: Every reflexive relation is a symmetric relation, q: Every anti-symmetric relation is reflexive.Which of the following is/ are true?

Let L be the set of all lines in a plane and let R be a relation defined on L by the rule (x,y)epsilonRtox is perpendicular to y . Then prove that R is a symmetric relation on L .

Consider set A = { 1,2,3}. Number of symmetric relations that can be defined on A containing the ordered pair (1,2) & (2,1) is

Define a transitive relation.

Define a reflexive relation.

If the numbers of different reflexive relations on a set A is equal to the number of different symmetric relations on set A, then the number of elements in A is

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let A={3,\ 5,\ 7} , B={2,\ 6,\ 10} and R be a relation from A to B def...

    Text Solution

    |

  2. Define a reflexive relation.

    Text Solution

    |

  3. Define a symmetric relation.

    Text Solution

    |

  4. Define a transitive relation.

    Text Solution

    |

  5. Define an equivalence relation.

    Text Solution

    |

  6. If A={3,\ 5,\ 7} and B={2,\ 4,\ 9} and R is a relation given by "is l...

    Text Solution

    |

  7. A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7} and if R={(x ,\ y): y is one half of x ;...

    Text Solution

    |

  8. Let A={2,\ 3,\ 4,\ 5} and B={1,3,\ 4} . If R is the relation from A to...

    Text Solution

    |

  9. State the reason for the relation R on the set {1, 2, 3} given by R={(...

    Text Solution

    |

  10. Let R={(a ,\ a^3): a is a prime number less than 5} be a relation. Fin...

    Text Solution

    |

  11. Let R be the relation in the set Z of integers given by R={(a,b):2 div...

    Text Solution

    |

  12. For the set A={1,\ 2,\ 3} , define a relation R on the set A as follow...

    Text Solution

    |

  13. Let A={0,\ 1,\ 2,\ 3} and R be a relation on A defined as R={(0,\ 0),\...

    Text Solution

    |

  14. If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^...

    Text Solution

    |

  15. Let the relation R be defined in N by aRb, if 2a + 3b = 30. Then R = …...

    Text Solution

    |

  16. Write the smallest equivalence relation on the set A={1,\ 2,\ 3} .

    Text Solution

    |

  17. Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}do...

    Text Solution

    |

  18. Which of the following is not an equivalence relation on Z ? a\ R\ b...

    Text Solution

    |

  19. R is a relation on the set Z of integers and it is given by (x ,\ y) i...

    Text Solution

    |

  20. Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the ...

    Text Solution

    |