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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
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The correct answer is:
6
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
$(1,1),(1,2),(2,1),(2,2),(1,3),(3,1)$
The total integral points lies inside the quadrilateral $A B C D$ is
$(1,1),(1,2),(2,1),(2,2),(1,3),(3,1)$
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