Question

If R={$(x,y)/3x+2y=15$ and x,y $ϵ$ N}, the range of the relation R is________

• A. $\{1,2\}$
• B. $\{1,2,..,5\}$
• C. $\{1,2,.,7\}$
• D. $\{3,6\}$

Answer 1

The correct option is D $\{3,6\}$

Given, $3x+2y=15$
$=>y=\frac{15-3x}{2}$
As both $x,y$ are natural numbers, we should find $x$ such that $15-3x$ is divisible by $2$
We can see that when $x=1$ or $3$, we get $y=6$ or $3$
Hence, the range is $3,6$