Let A={1,2,3}, B={3,4} and C={4,5,6} . Find (A × B) cap(A × C)

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2.Relations and Functions

easy

Let $A=\{1,2,3\}, B=\{3,4\}$ and $C=\{4,5,6\} .$ Find

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

A

$\{ (1,4),(2,4),(3,4)\} $

B

$\{ (1,4),(2,4),(3,4)\} $

C

$\{ (1,4),(2,4),(3,4)\} $

D

$\{ (1,4),(2,4),(3,4)\} $

Solution

Now $( A \times B )=\{(1,3),(1,4),(2,3),(2,4),(3,3),(3,4)\}$

and $( A \times C )=\{(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)\}$

Therefore, $(A \times B) \cap(A \times C)=\{(1,4),(2,4),(3,4)\}$

Standard 11

Mathematics

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