A = {1, 2, 3} and B = {3, 8} , then (A cup B) × (A cap B) is

English

Gujarati

Hindi

2.Relations and Functions

easy

$A = \{1, 2, 3\}$ and $B = \{3, 8\}$, then $(A \cup B) × (A \cap B)$ is

A

$\{(3, 1), (3, 2), (3, 3), (3, 8)\}$

B

$\{(1, 3), (2, 3), (3, 3), (8, 3)\}$

C

$\{(1, 2), (2, 2), (3, 3), (8, 8)\}$

D

$\{(8, 3), (8, 2), (8, 1), (8, 8)\}$

Solution

(b) $A \cup B = \{ 1,{\rm{ 2, 3, 8}}\} $; $A \cap B = \{ 3\} $

$(A \cup B) \times (A \cap B) = \{ (1,\,3),\,(2,3),(3,3),(8,3)\} $.

Standard 11

Mathematics

Share

Similar Questions

If $n(A) = 4$, $n(B) = 3$, $n(A \times B \times C) = 24$, then $n(C) = $

easy

If the set $A$ has $p$ elements, $B$ has $q$ elements, then the number of elements in $A × B$ is

easy

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

hard

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

easy

If $A = \{1, 2, 4\}, B = \{2, 4, 5\}, C = \{2, 5\},$ then $(A -B) × (B -C)$ is

easy