Question

Assertion (A) : The relation $R$ given by
$R=\{(1,3),(4,2),(2,4),(2,3),(3,1)\}$ on a set
$A=\{1,2,3,4\}$ is not symmetric.
Reason (R) : For symmetric relation $R=R^{-1}$

• A. Both (A) & (R) are individually true & (R) is correct 3. explanation of (A).
• B. Both (A) & (R) are individually true but (R) is not the correct (proper) explanation of (A).
• C. (A) is true but (R) is false.
• D. (A) is false but (R) is true.

Answer 1

Answer: (A)

$R=\{(1,3),(4,2),(2,4),(2,3),(3,1)\}$
as $(2,3)\in R$ but $(3,2)\notin R$
$\Rightarrow R$ is not symmetric.