The relation R on the set N of natural numbers defined as R = \(x,y): y = x+3 and x ≤ 5\ is Option 1: reflexive but not transitive Option 2: symmetric but not transitive Option 3: neither reflexive, nor symmetric nor transitive Option 4: reflexive but not symmetric

The answer is 'neither reflexive, nor symmetric nor transitive'. View full solution:

CUET Mathematics - The relation R on the set N of natural numbers defined as R = \(x,y): y = x+3 and x ≤ 5\ is | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 2

Algebra

Easy

core

reflexive but not transitive

symmetric but not transitive

neither reflexive, nor symmetric nor transitive

reflexive but not symmetric

✅ Correct Option: 3

Related questions:

2 June Shift 1

A function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by $f(x) = \frac{x}{x^2+1}$ is (where $\mathbb{R}$ is a set of real number)

13 May Shift 1

Let $A = \{a, b, c\}$ . Then number of relations containing $(a,b)$ and $(b, c)$ which are reflexive and transitive but not symmetric is

25th May Shift 1

For the relations $R_1, R_2, R_3, R_4$ defined on the set $A = \{1,2,3\}$ ,

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. $R_1 = \{(1,2),(2,1),(3,3)\}$	I. Transitive only
B. $R_2 = \{(1,1),(2,2),(3,3)\}$	II. Neither reflexive nor symmetric nor transitive
C. $R_3 = \{(1,2),(2,3),(1,3)\}$	III. Symmetric but neither reflexive nor transitive
D. $R_4 = \{(3,3),(3,1),(1,2)\}$	IV. Equivalence

Choose the correct answer from the options given below: