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1.Relation and Function
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Let $A = \{1, 2, 3\}, B = \{1, 3, 5\}$. $A$ relation $R:A \to B$ is defined by $R = \{(1, 3), (1, 5), (2, 1)\}$. Then ${R^{ - 1}}$ is defined by
A
$\{(1,2), (3,1), (1,3), (1,5)\}$
B
$\{(1, 2), (3, 1), (2, 1)\}$
C
$\{(1, 2), (5, 1), (3, 1)\}$
D
None of these
Solution
(c) $(x,\,y) \in R \Leftrightarrow (y,\,x) \in {R^{ – 1}}$, $\therefore$ ${R^{ – 1}} = \{ (3,\,1),\,(5,\,1),\,(1,\,2)\} $.
Standard 12
Mathematics
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