- Home
- Standard 12
- Mathematics
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