A) a function
B) transitive
C) not symmetric
D) reflexive
Correct Answer: C
Solution :
Let\[R=\{(1,\text{ }3),\text{ (}4,\text{ }2),\text{ (}2,\text{ }4),\text{ (}2,\text{ }3),\text{ (}3,\text{ }1)\}\]is a relation on the set\[A=\{1,\text{ }2,\text{ }3,\text{ }4\},\]then [a]\[\because \](2, 4) \[\in R\]and (2,3)\[\in R\]So,\[f(x)\]is not a function. [b]\[\because \](1,3)\[\in R\](3,1) \[\in R\]but (1,1)\[R\]. So, R is not transitive. [c]\[\because \] (2,3)\[\in R\]but (3,2)\[\in R\]So, R is not symmetric. [d] (1,1)\[R\]So, R is not reflexive.
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