The number of points $P(x, y)$ with natural numbers as coordinates that lie inside the quadrilateral formed…
The number of points $P(x, y)$ with natural numbers as coordinates that lie inside the quadrilateral formed by the lines $2 x+y=2$, $x=0, y=0$ and $x+y=5$ is
12
10
6
4
Solution
Given equations are $2 x+y=2, x=0, y=0$ and $x+y=5$.
The total integral points lies inside the quadrilateral $A B C D$ is
$(1,1),(1,2),(2,1),(2,2),(1,3),(3,1)$
