Basic Geometry Previous Year Questions (PYQs) for GATE CS: 6+ Solved Questions with Step-by-Step Solutions

Solve 6+ Basic Geometry previous year questions for GATE CS with answers and detailed solutions. Free sample questions below.

Basic Geometry: Solved Questions with Step-by-Step Explanations (5 Problems)

Question 1 SUB

You are given an $8 \times 8$ chessboard and a large supply of $T$ -shaped tiles and square-shaped tiles of the kind shown below.

Question 2 SUB

A pinhole camera is placed between an object and a sensor. Recall that images from a pinhole camera are inverted (see figure below). Assume that the object lies on a plane. Also assume that the plane containing the object, the plane containing the pinhole and the sensor plane are all parallel to each other.

Question 3 SUB

You are given a strange, analogue wall clock whose hour and minute hands are identical. Both the hands move continuously and there is no second hand. How many times are there from noon to midnight when it is not possible to tell what time is it by looking at the clock at that instant? For example, at 06:00 one can be sure that the upper hand is the minute hand; for otherwise at 12:30 pm the top hand is between 12 and 1. However, a bit after 1:15 pm and 3:06 pm the clock looks identical and you wouldn’t be able to tell the exact time.

Question 4 SUB

In the figure shown below, the circle has diameter 5. Moreover, AB is parallel to DE. If DE = 3 and AB = 6, what is the area of triangle ABC?

Question 5 SUB

An object $X$ is viewed from a camera placed at point $C_{1}$ . The camera is then moved to the points $C_{2}$ and $C_{3}$ . $X$ is again viewed from this new position. Suppose $H$ is the plane containing the points $C_{1}$ and $C_{2}$ . Let $H^{'}$ be a plane parallel to $H$ lying between the object $X$ and the camera positions. Let $f$ denote the distance between $H$ and $H^{'}$ . Let $X_{1}, X_{2}, X_{3}$ be the points of intersection of $H^{'}$ with the line segments joining $X$ with $C_{1}$ and $C_{2}$ and $C_{3}$ respectively.