If A - B- a- x-a- y-b- x-b- y- Find set A and B-

Given: nbsp; A× B= (a, x),(a, y),(b, x),(b, y) Compare A× B and nbsp;(a, x),(a, y),(b, x),(b, y) We know that the cartesian product of two non empty sets P ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Venn Diagram

If A × B= a, ...

Question

If $A \times B =$ { $(a, x), (a, y), (b, x), (b, y)$ }. Find set $A$ and $B$ .

Open in App

Solution

Given:
$A \times B =$ { $(a, x), (a, y), (b, x), (b, y)$ }

Compare $A \times B$ and { $(a, x), (a, y), (b, x), (b, y)$ }
We know that the cartesian product of two non-empty sets $P$ and $Q$ is given by : $P \times Q =$ { $(p, q) : p ϵ P, q ϵ Q$ }
Hence, $A$ is set of all first elements and $B$ is the set of all second elements.
$A =$ { $a, b$ }, $B =$ { $x, y$ }

Suggest Corrections

Similar questions

Q. If

A \times B = {(a, x), (a, y), (b, x), (b, y)}

Find

A

and

B

Q. If A × B = {( a , x ), ( a , y ), ( b , x ), ( b , y )}. Find A and B.

If B $\times$ A = {(x, a), (x, b), (x, c), (y, a), (y, b), (y, c), (z, a), (z, b), (z, c)} Find set A and set B.

If B $\times$ A = {(x, a), (x, b), (x, c), (y, a), (y, b), (y, c), (z, a), (z, b), (z, c)}. Find set A and set B.

If B $\times$ A = {(x, a), (x, b), (x, c), (y, a), (y, b), (y, c), (z, a), (z, b), (z, c)} Find set A and set B.

Join BYJU'S Learning Program

Explore more

Venn Diagram

Standard VIII Mathematics

Join BYJU'S Learning Program

If A×B= {(a,x),(a,y),(b,x),(b,y)}. Find set A and B.

Given: A×B= {(a,x),(a,y),(b,x),(b,y)} Compare A×B and {(a,x),(a,y),(b,x),(b,y)} We know that the cartesian product of two non-empty sets P and Q is given by : P×Q= {(p,q):p ϵ P,q ϵ Q} Hence, A is set of all first elements and B is the set of all second elements. A= {a,b}, B= {x,y}

If $A \times B =$ { $(a, x), (a, y), (b, x), (b, y)$ }. Find set $A$ and $B$ .