Consider the non-empty set consisting of children in a family and a relation R is defined as aRb if a is a brother of b. Then R is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Transitive but not symmetric
R is not Reflexive
as one can't be brother of oneself
R is not symmetric
as if $(a, b) ∈R$ ⇒ a is brother of b
but $(b,a)∉R$ always as b may b sister of a
R is transitive
as $(a, b) ∈R$ ⇒ a is brother of b, $(b, c) ∈R$ ⇒ b is brother of c
⇒ a is brother of c so $(a, c) ∈R$