Q. 314.0( 5 Votes )
If a relation R o A. reflexive
B. transitive
C. symmetric
D. none of these
Answer :
Given that, R on the set {1, 2, 3} be defined by R = {(1, 2)}
Now,
R is not reflexive ∵ (1,1),(2,2),(3,3) ∉ R
R is not symmetric ∵ (1,2)∈ R but (2,1) ∉ R
R is not transitive ∵ R has only one ordered pair.
Thus, R is neither reflexive nor transitive nor symmetric.
Hence, option ‘D’ is corect.
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