The relation R on the set A = 1, 2, 3 defined by R = (1,1), (2,2), (3,3), (1,3), (2,3), (1,2) is Option 1: reflexive but neither symmetric nor transitive Option 2: reflexive and transitive Option 3: reflexive and symmetric Option 4: an equivalence relation

The answer is 'reflexive and transitive'. View full solution:

CUET Mathematics - The relation R on the set A = 1, 2, 3 defined by R = (1,1), (2,2), (3,3), (1,3), (2,3), (1,2) is | PYQs + Solutions

CUET Mathematics 2026 22nd May Shift 2

Algebra

Easy

core

reflexive but neither symmetric nor transitive

reflexive and transitive

reflexive and symmetric

an equivalence relation

✅ Correct Option: 2

Related questions:

29th May Shift 1

Let $R_1, R_2, R_3, R_4$ be the relations defined on the set $A=\{1,2,3\}$ . then

Match List-I with List-II

List-I (Relation)	List-II (Type)
(A) $R_1=\{(1,1),(2,2),(3,3)\}$	(I) Only transitive
(B) $R_2=\{(1,2),(2,3),(1,3)\}$	(II) Equivalence relation
(C) $R_3=\{(1,2),(2,1),(1,1),(2,2)\}$	(III) Reflexive and symmetric but not transitive
(D) $R_4=\{(1,1),(2,2),(3,3),(2,3),(3,2),(1,2),(2,1)\}$	(IV) Symmetric and transitive but not reflexive

Choose the correct answer from the options given below:

21 May Shift 1

If R be a relation on the set of integers Z, given by R = {(a, b) : (a - b) is a multiple of 3}, then R is:

29th May Shift 2

Let S be the set of all real numbers and let R be a relation on S, defined by $aRb \Leftrightarrow |a-b| \leq 1$ . Then, R is