Let A = \0, 1, 2, 3\ and R be a relation on set A defined as R = \(0,0), (0,1), (0,3), (1,0), (1,1), (2,2), (3,0), (3,3)\, then the relation R is Option 1: reflexive and symmetric but not transitive. Option 2: reflexive and transitive but not symmetric. Option 3: Symmetric and transitive but not reflexive. Option 4: equivalence relation

The answer is 'reflexive and symmetric but not transitive.'. View full solution:

CUET Mathematics - Let A = \0, 1, 2, 3\ and R be a relation on set A defined as R = \(0,0), (0,1), (0,3), (1,0), (1,1), (2,2), (3,0), (3,3)\, then the relation R is | PYQs + Solutions

CUET Mathematics 2026 19th May Shift 1

Algebra

Easy

core

reflexive and symmetric but not transitive.

reflexive and transitive but not symmetric.

Symmetric and transitive but not reflexive.

equivalence relation

✅ Correct Option: 1

List I	List II
A. Range of $\lvert x\rvert$	I. $(-5, \infty)$
B. Range of $9x^2 + 6x - 5$ for all $x \geq 0$	II. $[0, \infty)$
C. Domain of $\dfrac{1}{\sqrt{x+5}}$	III. $\{(1,1), (2,2), (3,3)\}$
D. Smallest equivalence relation on Set $\{1,2,3\}$	IV. $[-5, \infty)$