• # question_answer Let R be a relation on the set N be defined by {(x, y)| x, y  $\overset{\hat{\ }}{\mathop{i}}\,$ N, 2x + y = 41}. Then R is A) ReflexiveB) SymmetricC) TransitiveD) None of these

On the set N of natural numbers, $R=\{(x,y):x,y\in N,2x+y=41\}$. Since $(1,1)\notin R$as $2.1+1=3\ne 41$. So, R is not reflexive. $(1,\,39)\in R$but $(39,\,1)\notin R$. So R is not symmetric (20, 1) (1, 39 $\in R$. But $(20,39)\notin R$, So R is not transitive.