List of top Mathematics Questions on Relations and Functions asked in CUET (UG)

Relation \(R\) in the set \(A = \{1,2,3,4,\ldots,16\}\) defined as \(R = \{(x,y): 3x = y,\ x,y \in A\}\), then which of the following are correct ?
A. domain of \(R = \{1, 2, 3, 4, 5\}\).
B. range of \(R = \{3, 6, 9, 12, 15\}\).
C. \(R\) is reflexive.
D. \(R\) is not symmetric.
Choose the correct answer from the options given below:

A function \(f: N \to N\), (\(N\): set of natural numbers) defined by \(f(x) = x^2 + x + 1\) is

Let \( f : \mathbb{R} \to \mathbb{R} \) be defined as \( f(x) = 10 - x^2 \), then:

Relation \( R \) on the set \( A = \{1, 2, 3, \ldots, 13, 14\} \) defined as \( R = \{(x, y) : 3x - y = 0\} \) is: