Let A and B be two sets such that A- B consists of 6 elements-If three elements of A- B are 1-4-2-6-3-6-Find A- B and B- A

Since {(1,4),(2,6),(3,6)} are the elements of A× B .It follows that the elements of set A={1,2,3} and B={4,6} Hence A× B={(1,4),(1,6) ...

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Standard XII

Mathematics

Cartesian Product

Let A and ...

Question

Let $A$ and $B$ be two sets such that $A \times B$ consists of $6$ elements.If three elements of $A \times B$ are ${(1, 4), (2, 6), (3, 6)}$ .Find $A \times B$ and $B \times A$

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Solution

Since ${(1, 4), (2, 6), (3, 6)}$ are the elements of $A \times B$ .
It follows that the elements of set $A = {1, 2, 3}$ and $B = {4, 6}$
Hence $A \times B = {(1, 4), (1, 6), (2, 4), (2, 6), (3, 4), (3, 6)}$
$B \times A = {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}$

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Let A and B be two sets such that A×B consists of 6 elements.If three elements of A×B are {(1,4),(2,6),(3,6)}.Find A×B and B×A

Since {(1,4),(2,6),(3,6)} are the elements of A×B.It follows that the elements of set A={1,2,3} and B={4,6}Hence A×B={(1,4),(1,6),(2,4),(2,6),(3,4),(3,6)}B×A={(4,1),(4,2),(4,3),(6,1),(6,2),(6,3)}

Let $A$ and $B$ be two sets such that $A \times B$ consists of $6$ elements.If three elements of $A \times B$ are ${(1, 4), (2, 6), (3, 6)}$ .Find $A \times B$ and $B \times A$

Since ${(1, 4), (2, 6), (3, 6)}$ are the elements of $A \times B$ .
It follows that the elements of set $A = {1, 2, 3}$ and $B = {4, 6}$
Hence $A \times B = {(1, 4), (1, 6), (2, 4), (2, 6), (3, 4), (3, 6)}$
$B \times A = {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}$