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+2 votes

Let R be a relation from a set A to a set B. The inverse relation from B to A, denoted by R^{-1}, is the set of ordered pairs  \{(b, a) | (a, b) \in R\}.

S1: R is reflexive relation iff R^ {-1} = R

S2: R is a symmetric relation iff R^ {-1} = R

Which one of the following statements is true?

(A).Only S1

(B).Only S2

(C).Both S1 and S2

(D).None 

asked Jul 8, 2019 by gbeditor-2 (72,840 points)
reshown Jul 9, 2019 by gbeditor-2

1 Answer

–2 votes
B is correct
answered Jul 9, 2019 by (34,820 points)
can anyone give solution..., i solved it but dont know whether it is correct or not
commented Aug 25, 2019 by (4,530 points)
1st statement is false , take any reflexive relation with diagonal elements and one element extra , now reverse it.
2nd statement can be proven mathematically using set contain method.
commented Oct 5, 2019 by prashantpro19 (970 points)
Answer:

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