Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}?(a) R = {(3, 4), (4, 6), (3, 6)}(b) R = {(1, 2), (1, 3), (1, 4)}(c) R = {(3, 3), (4, 4), (6, 6)}(d) R = {(3, 4), (4, 3)}I had been asked this question by my college professor while I was bunking the class.The origin of the question is Types of Relations topic in chapter Relations and Functions of Mathematics – Class 12

Which of the following relations is transitive but not reflexive for t

1.	Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}?(a) R = {(3, 4), (4, 6), (3, 6)}(b) R = {(1, 2), (1, 3), (1, 4)}(c) R = {(3, 3), (4, 4), (6, 6)}(d) R = {(3, 4), (4, 3)}I had been asked this question by my college professor while I was bunking the class.The origin of the question is Types of Relations topic in chapter Relations and Functions of Mathematics – Class 12
Answer» Right option is (a) R = {(3, 4), (4, 6), (3, 6)} For explanation: For the above given set S = {3, 4, 6}, R = {(3, 4), (4, 6), (3, 6)} is TRANSITIVE as (3,4)∈R and (4,6) ∈R and (3,6) also belongs to R . It is not a REFLEXIVE relation as it does not SATISFY the condition (a,a)∈R, for every a∈A for a relation R in the set A.

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