GATE 2021 PH – Question 6

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

A person travels 3 units east and then 4 units south from O to P. From P, the person travels northeast to a point 6 units east of O, then northwest to Q, which is 8 units north of P. The shortest distance between O and Q is:

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Correct answer: (C) 5

Explanation

Set O=(0,0), so P=(3,−4). The next point is (6,0), and Q, eight units north of P, is (3,4). Therefore $OQ=\sqrt{3^2+4^2}=5$.

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