1.Relation and Function
normal

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

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.