The relation R = \(a, b) : a ≤ b^2\ on the set of real numbers is: Option 1: Reflexive and symmetric Option 2: Neither reflexive nor symmetric Option 3: Transitive Option 4: Reflexive but not symmetric

The answer is 'Neither reflexive nor symmetric'. View full solution:

The relation R = \(a, b) : a \<=q b^2\ on the set of real numbers is:

Neither ref<=xive nor symmetric

CUET Mathematics 2023 23 May Shift 3

Algebra

Medium

Reflexive and symmetric

Neither reflexive nor symmetric

Transitive

Reflexive but not symmetric

✅ Correct Option: 2

Related questions:

30 Aug Shift 1

If $R$ is a relation on $Z$ (set of all integers) defined by $xRy$ , iff $|x - y| \leq 1$ , then

(a) $R$ is reflexive

(b) $R$ is symmetric

(d) $R$ is not symmetric

(e) $R$ is not transitive

Choose the most appropriate answer from the options given below

10 Aug Shift 1

A. A relation $R$ on a set $A$ is called an equivalence relation, if it is reflexive, symmetric and transitive.

B. The function $f : R \to R$ defined by $f(x) = e^x$ is not one-one.

C. The one-one function is also known as injective function.

D. The onto function is also known as subjective function.

E. A function $f : X \to Y$ is said to be many-one, if two or more than two elements in set $X$ have the different image in set $Y$ .

Choose the correct answer from the option given below:

15 May Shift 1

Let A= {1, 2, 3}, then the possible equivalence relations on A are:

(A) {(1, 1), (2, 2) , (3, 3)}

(B) {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}

(D) {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}

Choose the correct answer from the options given below: