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1.Relation and Function
normal
$R$ એ $\{11, 12, 13\}$ થી $\{8, 10, 12\}$ પર $y = x - 3$ દ્વારા વ્યાખ્યાયિત હોય તો ${R^{ - 1}}$ મેળવો.
A
$\{(8, 11), (10, 13)\}$
B
$\{(11, 18), (13, 10)\}$
C
$\{(10, 13), (8, 11)\}$
D
એકપણ નહીં.
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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