Relation R on Real Numbers is defined as R = \(a, b) : a ≤ b\. The relation is : Option 1: Reflexive and Symmetric but not Transitive Option 2: Symmetric and Transitive but not Reflexive Option 3: Reflexive and Transitive but not Symmetric Option 4: Equivalence relation

The answer is 'Reflexive and Transitive but not Symmetric'. View full solution:

Relation R on Real Numbers is defined as R = \(a, b) : a \<=q b\. The relation is :

Ref<=xive and Transitive but not Symmetric

Ref<=xive and Symmetric but not Transitive

Symmetric and Transitive but not Ref<=xive

Ref<=xive and Transitive but not Symmetric

CUET Mathematics 2023 30 May Shift 3

Algebra

Easy

Reflexive and Symmetric but not Transitive

Symmetric and Transitive but not Reflexive

Reflexive and Transitive but not Symmetric

Equivalence relation

✅ Correct Option: 3

Related questions:

19 May Shift 1

The relation R in $\mathbb{R}$ (set of real numbers) is defined by $R = \{(a,b): a \leq b^3\}$ , then R is

13 May Shift 2

Match List-I with List-II

Let $f: A \rightarrow B$ be a function given by $f(x) = x^2$

List-I	List-II
Domain and Co-domain	Kind
(A) $A = \mathbb{R}$ and $B = \mathbb{R}$	(I) $f$ is both one-one and onto
(B) $A = \mathbb{R}$ and $B = [0, \infty]$	(II) $f$ is one-one but not onto
(C) $A = B = [0, \infty]$	(III) $f$ is not one-one but onto
(D) $A = [0, \infty]$ and $B = \mathbb{R}$	(IV) $f$ is neither one-one nor onto

Choose the correct answer from the options given below:

25 May Shift 1

Let A = {1,2,3}. Consider the relation R = {(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}. Then R is