Questions
Let R = {(3, 3), (6, 6), (9, 9) (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)}
be a relation on the set A = {3, 6, 9, 12}. The relation is
a
an equivalence relation.
b
reflexive and symmetric only.
c
reflexive and transitive only
d
reflexive only
detailed solution
Correct option is C
R is reflexive as (3, 3), (6, 6), (9, 9), (12, 12) ∈ R. R is not symmetric as (6, 12) ∈ R but (12, 6)∈ R. R is transitive as the only pair which needs verification is (3, 6) and (6, 12) ∈R⇒ (3, 12) ∈ R.Talk to our academic expert!
Similar Questions
A relation R on the set of complex numbers defined by
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