X is the set of all residents in a colony and R is a relation defined on X as follows: "Two persons are related iff they have the same mother tongue". The relation R is

JEE Main Mathematics question

is the set of all residents in a colony and is a relation defined on as follows: "Two persons are related iff they have the same mother tongue". The relation is

(A)Only symmetric
(B)Only reflexive
(C)Both symmetric and reflexive but not transitive
(D)EquivalenceCorrect

Answer: (D)

Solution

Each person has exactly one mother tongue, so is reflexive, symmetric and transitive.

Question ID VK-003213