2.Relations and Functions
easy

જો $A \times B=\{(a, x),(a, y),(b, x),(b, y)\},$ તો $A$ અને $B$ શોધો.

A

$\{ a,b\} $ and $\{ x,y\} $

B

$\{ a,b\} $ and $\{ x,y\} $

C

$\{ a,b\} $ and $\{ x,y\} $

D

$\{ a,b\} $ and $\{ x,y\} $

Solution

If is given that $A \times B=\{(a, x),(a, y),(b, x),(b, y)\}$

We know that the Cartesian product of two non-empty sets $P$ and $Q$ is defined as

$P \times Q=\{(p, q): p \in P, q \in Q\}$

$\therefore $  $A$ is the set of all first elements and $B$ is the set of all second elements.

Thus, $A=\{a, b\}$ and $B=\{x, y\}$

Standard 11
Mathematics

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