GATE CSE 2023 Q5: Shape of the surface of a smooth 3-D object

Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?

Try it: multiple choice: exactly one correct option

Wrong answer costs 1/3 mark in GATE.

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Answer: C (official GATE 2023 final answer key)

Concept used: Smoothness rules out edges and corners but says nothing about curvature direction.

First step: Think of a smooth object such as a peanut shell or a torus and check its curvature at different points.

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Source: official GATE 2023 CS question paper and final answer key, organised by IIT Kanpur. Question paper · Answer key