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

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

AMUAMU 2012Relations and Functions - Part 2

Solution:

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