The figure shows a relation between the sets $P$ and $Q$. Write this relation in roster form. What is its domain and range?
(N/A) From the figure,it is clear that the relation $R$ is defined as '$x$ is the square of $y$'.
In roster form,the relation is $R = \{(9, 3), (9, -3), (4, 2), (4, -2), (25, 5), (25, -5)\}$.
The domain of this relation is the set of all first elements of the ordered pairs,which is $\{4, 9, 25\}$.
The range of this relation is the set of all second elements of the ordered pairs,which is $\{-5, -3, -2, 2, 3, 5\}$.
In roster form,the relation is $R = \{(9, 3), (9, -3), (4, 2), (4, -2), (25, 5), (25, -5)\}$.
The domain of this relation is the set of all first elements of the ordered pairs,which is $\{4, 9, 25\}$.
The range of this relation is the set of all second elements of the ordered pairs,which is $\{-5, -3, -2, 2, 3, 5\}$.
Explore More
Similar Questions
If $n(A) = 2$ and the number of relations from set $A$ to set $B$ is $1024$, then $n(B)$ is
MediumKCET 2026
View SolutionIn the context of a power set containing a subset,the relation 'is a subset of' $(\subseteq)$ is:
Easy
View SolutionLet $A = \{x, y, z\}$ and $B = \{1, 2\}$. Find the number of relations from $A$ to $B$.
Easy
View SolutionLet $A = \{1, 2, 3\}$ and $B = \{1, 3, 5\}$. If a relation $R$ from $A$ to $B$ is defined as $R = \{(1, 3), (2, 5), (3, 3)\}$,then find the inverse relation ${R^{ - 1}}$.
Medium
View SolutionLet $A = \{1, 2, 3, 4, 6\}$. Let $R$ be the relation on $A$ defined by $R = \{(a, b) : a, b \in A, b \text{ is exactly divisible by } a\}$. Write $R$ in roster form.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo