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.