GATE EC 2022 Set 1 — Question 8
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
Four points , , , and represent the vertices of a quadrilateral.What is the area enclosed by the quadrilateral?
Correct answer
(C) 8
Solution
The vertices of the quadrilateral are , , , and .
1.The diagonal lies on the -axis (since for both points). Its length is .
2.The diagonal lies on the horizontal line . Its length is .
3.These two diagonals are perpendicular because one is vertical and the other is horizontal. They intersect at the point .
The area of a quadrilateral with perpendicular diagonals is given by:Thus, the area is 8 square units.Continue learning with Success Tracker
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