CUET Mathematics - The Relation R = \(x, y) : x ≤ y^2\ defined on the set R of Real numbers is : (A) reflexive but not symmetric (B) neither reflexive nor symmetric (C) neither reflexive nor transitive (D) reflexive but not transitive (E) not reflexive but symmetric Choose the correct answer from the options given below : | PYQs + Solutions

CUET Mathematics 2022 17 Aug Shift 2

Algebra

Medium

(A) and (C) only

(B) and (C) only

(A) and (D) only

✅ Correct Option: 2

Related questions:

17 Aug Shift 2

Which of the following relations on the set $A = \{1, 2, 3\}$ are equivalence ?

(A) $R = \{(1,1), (2,2), (1,2), (2,1)\}$

(B) $R = \{(1,1), (2,2), (3,3)\}$

(D) $R = \{(1,1), (2,2), (3,3), (1,2), (2,1), (2,3), (3,2), (1,3), (3,1)\}$

(E) $R = \{(1,1), (2,2), (3,3), (1,2)\}$

Choose the correct answer from the options given below :

22 May Shift 3

Match List - I with List - II.

	List - I		List - II
(A)	$f(x) = \frac{1}{x}, f : \mathbf{R} - \{0\} \to \mathbf{R} - \{0\}$	(I)	neither injective nor surjective
(B)	$f(x) = x^2, f : \mathbf{N} \to \mathbf{N}$	(II)	surjective but not injective
(C)	$f(x) = x^2, f : \mathbf{R} \to \mathbf{R}$	(III)	injective but not surjective
(D)	$f : \{1, 2, 3\} \to \{1, 2\}$ defined as $f : \{(1, 1), (2, 2), (3, 1)\}$	(IV)	injective and surjective

Choose the correct answer from the options given below :

29 May Shift 2

The function $f: [-1, 1] \rightarrow R$ (set of real numbers) given by $f(x) = \frac{x}{x+3}$ is

CUET Mathematics 2022 17 Aug Shift 2 PYQs