(A) According to the distributive property of the Cartesian product over the union of sets,for any three sets $A, B$,and $C$,we have: $A \times (B \cu

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

$(A \times B) \cup (A \times C)$

(A) According to the distributive property of the Cartesian product over the union of sets,for any three sets $A, B$,and $C$,we have: $A \times (B \cup C) = (A \times B) \cup (A \times C)$.

Class 11 Mathematics Set Theory Basic of Set theory

Easy

If $A, B$,and $C$ are three sets,then $A \times (B \cup C)$ is equal to

A
$(A \times B) \cup (A \times C)$
B
$(A \cup B) \times (A \cup C)$
C
$(A \times B) \cap (A \times C)$
D
None of these

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Set Theory

Subtopic

Basic of Set theory

Which of the following is a true statement?

Medium

View Solution

Given the sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}$ and $C = \{0, 2, 4, 6, 8\}$,which of the following may be considered as a universal set for all the three sets $A$,$B$ and $C$?

Easy

View Solution

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
$1 \subset A$

Easy

View Solution

Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$2 \dots A$

Easy

View Solution

Let $A = \{1, 2, 3, \ldots, 10\}$ and $B = \left\{\frac{m}{n} : m, n \in A, m < n \text{ and } \gcd(m, n) = 1\right\}$. Then $n(B)$ is equal to:

DifficultJEE MAIN 2025

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 $A, B$,and $C$ are three sets,then $A \times (B \cup C)$ is equal to

Similar Questions

Which of the following is a true statement?

Given the sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}$ and $C = \{0, 2, 4, 6, 8\}$,which of the following may be considered as a universal set for all the three sets $A$,$B$ and $C$?

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?$1 \subset A$

Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:$2 \dots A$

Let $A = \{1, 2, 3, \ldots, 10\}$ and $B = \left\{\frac{m}{n} : m, n \in A, m < n \text{ and } \gcd(m, n) = 1\right\}$. Then $n(B)$ is equal to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
$1 \subset A$

Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$2 \dots A$