1.Relation and Function
normal

$R$ is a relation from $\{11, 12, 13\}$ to $\{8, 10, 12\}$ defined by $y = x - 3$. Then ${R^{ - 1}}$ is

A

$\{(8, 11), (10, 13)\}$

B

$\{(11, 18), (13, 10)\}$

C

$\{(10, 13), (8, 11)\}$

D

None of these

Solution

(a) $R$ is a relation from $\{11, 12, 13\}$ to $\{8, 10, 12\}$ defined by $y = x – 3 \Rightarrow x – y = 3$

$\therefore R = \{11, 8\},\{13, 10\}.$

Hence, ${R^{ – 1}} = \{ 8,\,11\} ;\{ 10,\,13\} $.

Standard 12
Mathematics

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