Let X be the set of all engineering colleges in a state of the Indian Republic and R be a relation on X defined as: two colleges are related iff they are affiliated to the same university. Then R is

JEE Main Mathematics question

Let be the set of all engineering colleges in a state of the Indian Republic and be a relation on defined as: two colleges are related iff they are affiliated to the same university. Then is

(A)Only reflexive
(B)Only symmetric
(C)Only transitive
(D)EquivalenceCorrect

Answer: (D)

Solution

Each college is affiliated to exactly one university, so is reflexive, symmetric and transitive.

Question ID VK-003245