2.Relations and Functions
medium

જો $G =\{7,8\}$ અને $H =\{5,4,2\},$ તો $G \times H$ અને $H \times G$ શોધો.

Option A
Option B
Option C
Option D

Solution

$G =\{7,8\}$ and $H =\{5,4,2\}$

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

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

$\therefore G \times H=\{(7,5),(7,4),(7,2),(8,5),(8,4),(8,2)\}$

$H \times G=\{(5,7),(5,8),(4,7),(4,8),(2,7),(2,8)\}$

Standard 11
Mathematics

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