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No. of anti symmetric Relation...

No. of anti symmetric Relation

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S is a relation over the set R of all real numbers and it is given by (a ,\ b) in ShArra bgeq0 . Then, S is symmetric and transitive only reflexive and symmetric only (c) antisymmetric relation (d) an equivalence relation

Define a symmetric relation.

Knowledge Check

  • Consider the following statements 1. Identify , relation in a finite set A is the greatest relation in A. 2. The universal relation in a set containing at least 2 elements is non anti symmetric 3. The union and intersection of two symmetric relations are also symmetric relations. Whcih of these is/are correct?

    A
    only1
    B
    2 and 3
    C
    1 and 3
    D
    all of these

  • If R and S are two symmetric relations (not disjoint) on a set A, then the relation R cap S is

    A
    reflexive
    B
    symmetric
    C
    transitive
    D
    None of these

  • 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

    A
    1
    B
    3
    C
    1 and 3
    D
    3 and 7

    • Similar Questions

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    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?

    Explain the following (i)Reflexive Relaton (ii) symmetric Relation (ii) Anti- symmetaic relation (iv) transitive relation

    If a relation R in N defined as R =((a ,b):a (A) Only transitive relation. (B) Only symmetric relation. (C) Only reflexive relation. (D) Transitive and symmetric relation.

    Let M be the set of men and R is a relation is son of defined on M.Then,R is ( a) an equivalence relation (b) a symmetric relation (c) a transitive relation (d) None of these

    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.

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