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GATE 2021 MA – Question 2

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

A polygon is convex if for every pair of its points P,Q, the segment PQ lies completely inside or on the polygon. Which shown polygon is not convex?

Diagram for GATE 2021 MA question 2
  1. Option A in the figure
  2. Option B in the figure
  3. Option C in the figure
  4. Option D in the figure

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Show answer and explanation

Correct answer: (A) Option A in the figure

Explanation

Polygon A has an inward notch, with a reflex interior angle. A segment between points on either side of that notch leaves the polygon. The triangle, square and trapezoid are convex. **A**.

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