GATE 2022 ES – Question 8

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

P=(0,1),Q=(0,−3),R=(−2,−1),S=(2,−1) are the vertices of a quadrilateral. Find its enclosed area.

4
4√2
8
8√2

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Show answer and explanation

Correct answer: (C) 8

Explanation

The points form a diamond with perpendicular diagonals PQ and RS, both of length 4. Area=½·4·4=**8, C**. The boundary order is P, R, Q, S around the convex quadrilateral.

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