No. of anti symmetric Relation

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.

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

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

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.