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)} .

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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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