GATE CSE 2021 Set 1 | GA Question: 2

Question

A polygon is convex if, for every pair of points, $\text{P}$ and $\text{Q}$ belonging to the polygon, the line segment $\text{PQ}$ lies completely inside or on the polygon.

Which one of the following is $\underline{\text{NOT}}$ a convex polygon?

• A.
• B.
• C.
• D.

Answer 1

Option A is not a convex polygon as if we choose $\text{P}$ and $\text{Q}$ on the left-most tail the line segment $\text{PQ}$ will not be inside the polygon.