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CUET Mathematics 2026 PYQs21 May Shift 2. Free, no login required.

Algebra

past year questions, CUET Mathematics 2026 21 May Shift 2

Relations & Functions

past year questions, Algebra, CUET Mathematics 2026 21 May Shift 2

Easy

core

The relation R on the set N of natural numbers defined as R={(x,y):y=x+3 and x≤5}R = \{(x,y): y = x+3 \text{ and } x \le 5\} is

Solution

✅ Correct Option: 3

The relation is the finite set {(1,4),(2,5),(3,6),(4,7),(5,8)}\{(1,4),(2,5),(3,6),(4,7),(5,8)\}.

No pair (x,x)(x,x) appears, so it is not reflexive; (1,4)(1,4) is present but (4,1)(4,1) is not, so it is not symmetric; (1,4)(1,4) and (4,7)(4,7) are present but (1,7)(1,7) is not, so it is not transitive.

Related questions:

2026: 22 May Shift 2

The relation R on the set A = {1, 2, 3} defined by R = {(1,1), (2,2), (3,3), (1,3), (2,3), (1,2)} is

2026: 18 May Shift 2

For the relation R defined below, where R\mathbb{R} and N denotes set of real numbers and set of natural numbers respectively, Match the LIST-I with LIST-II

LIST-I RelationLIST-II Properties of relation hold by R
A. R={(a,b):a,b∈R;a2+b2=4}R=\{(a,b): a,b\in \mathbb{R}; a^2+b^2=4\}I. Neither reflexive, nor symmetric, nor transitive
B. R={(a,b):a,b∈R;1+ab>0}R=\{(a,b): a,b\in \mathbb{R}; 1+ab>0\}II. Equivalence relation
C. R={(a,b):a,b∈N;a+2b=8}R=\{(a,b): a,b\in N; a+2b=8\}III. Symmetric but neither reflexive nor transitive
D. On N×N, relation R defined by (a,b)R(c,d)⇔a+d=b+c(a,b)R(c,d) \Leftrightarrow a+d=b+cIV. Reflexive and symmetric, but not transitive

Choose the correct answer from the options given below:

2022: 7 Aug Shift 2

The modulus function f:R→Rf : R \to R, given by f(x)=∣x∣f(x) = |x|, is :

2026: 12 May Shift 2

Let AA be set of all real numbers and RR be a relation on AA defined by R={(a,b):1+ab>0}R=\{(a,b): 1+ab>0\}, then relation RR is

2022: 6 Aug Shift 2

Match List I with List II

List IList II
A. Range of ∣x∣\lvert x\rvertI. (−5,∞)(-5, \infty)
B. Range of 9x2+6x−59x^2 + 6x - 5 for all x≥0x \geq 0II. [0,∞)[0, \infty)
C. Domain of 1x+5\dfrac{1}{\sqrt{x+5}}III. {(1,1),(2,2),(3,3)}\{(1,1), (2,2), (3,3)\}
D. Smallest equivalence relation on Set {1,2,3}\{1,2,3\}IV. [−5,∞)[-5, \infty)

Choose the correct answer from the options given below:

2025: 3 June Shift 2

The function f:[−1,1]→Rf: [-1, 1] \rightarrow R is given by f(x)=xx+2f(x) = \frac{x}{x + 2}

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