(B) The Cartesian product $R \times R$ is defined as the set $R \times R = \{(x, y) : x, y \in R \}$. This set represents the coordinates of all point

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

$R \times R$ represents the set of all points in a plane and $R \times R \times R$ represents the set of all points in three-dimensional space.

(B) The Cartesian product $R \times R$ is defined as the set $R \times R = \{(x, y) : x, y \in R \}$. This set represents the coordinates of all points in a two-dimensional plane. The Cartesian product $R \times R \times R$ is defined as the set $R \times R \times R = \{(x, y, z) : x, y, z \in R \}$. This set represents the coordinates of all points in three-dimensional space.

Class 11 Mathematics Relations and Functions Cartesian Products of Sets

Easy

If $R$ is the set of all real numbers,what do the Cartesian products $R \times R$ and $R \times R \times R$ represent?

A
$R \times R$ represents the set of all points in a line and $R \times R \times R$ represents the set of all points in a plane.
B
$R \times R$ represents the set of all points in a plane and $R \times R \times R$ represents the set of all points in three-dimensional space.
C
$R \times R$ represents the set of all points in three-dimensional space and $R \times R \times R$ represents the set of all points in a plane.
D
$R \times R$ represents the set of all points in a line and $R \times R \times R$ represents the set of all points in three-dimensional space.

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Relations and Functions

Subtopic

Cartesian Products of Sets

If $A = \{2, 3, 5\}$ and $B = \{2, 5, 6\}$,then $(A - B) \times (A \cap B)$ is:

Easy

View Solution

If $A = \{x : x^2 - 5x + 6 = 0\}, B = \{2, 4\}, C = \{4, 5\}$,then find $A \times (B \cap C)$.

Medium

View Solution

Let $A$ and $B$ be two sets such that $n(A)=3$ and $n(B)=2$. If $(x, 1), (y, 2), (z, 1)$ are in $A \times B$,find $A$ and $B$,where $x, y$ and $z$ are distinct elements.

Easy

View Solution

Let $A = \{a, b, c\}$ and $B = \{1, 2\}$. Then the relation $R$ defined from set $A$ to set $B$ is a subset of which of the following?

Easy

View Solution

If two sets $A$ and $B$ have $99$ elements in common,then the number of elements common to each of the sets $A \times B$ and $B \times A$ is

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

If $R$ is the set of all real numbers,what do the Cartesian products $R \times R$ and $R \times R \times R$ represent?

Similar Questions

If $A = \{2, 3, 5\}$ and $B = \{2, 5, 6\}$,then $(A - B) \times (A \cap B)$ is:

If $A = \{x : x^2 - 5x + 6 = 0\}, B = \{2, 4\}, C = \{4, 5\}$,then find $A \times (B \cap C)$.

Let $A$ and $B$ be two sets such that $n(A)=3$ and $n(B)=2$. If $(x, 1), (y, 2), (z, 1)$ are in $A \times B$,find $A$ and $B$,where $x, y$ and $z$ are distinct elements.

Let $A = \{a, b, c\}$ and $B = \{1, 2\}$. Then the relation $R$ defined from set $A$ to set $B$ is a subset of which of the following?

If two sets $A$ and $B$ have $99$ elements in common,then the number of elements common to each of the sets $A \times B$ and $B \times A$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module