Question

Let $R$ be a relation on the set $N$, defined by { $(x,y):2x-y=10$ }, then $R$ is

• A. reflexive
• B. symmetric
• C. transitive
• D. None of these

Answer 1

Answer: (A)

Given, $\{(x,y):2x-y=10\}$
Reflexive, $xRx\iff 2x-x=10$
$\Rightarrow x=10$
$\Rightarrow y=10$
$\therefore$ Point $(10,10)\in N$
Hence, $R$ is reflexive.