Question

Let R be a relation on the set N be defined by $\left\{\right(x,y)|x,y\in N.2x+y=41\}$ then R is

• A. Reflexive
• B. Symmetrice
• C. Transitive
• D. Not Symmetric

Answer 1

The correct option is D Not Symmetric

$2x+y=41$
$x=1,y=39$
$x=2,y=37$
$x=3,y=35$
$x=4,y=33$
$x=5,y=31$
$x=6,y=29$
$x=7,y=27$
$x=8,y=25$
$x=9,y=23$
$x=10,y=21$
$x=11,y=19$
$x=12,y=17$
$x=13,y=15$
$(1,39)$ satisfy the relation, $2x+y=41$
but $(39,1)$ does not satisfy the relation.
So it is not symmetric.