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Coordinate Geometry

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Coordinate Geometry

by sparkle6 » Mon Oct 03, 2011 6:39 am
A certain square is to be drawn on a coordinate plane. One of the vertices must be on the origin, and the square is to have an area of 100. If all coordinates of the vertices must be integers, how many different ways can this square be drawn?

a. 4

b. 6

c. 8

d. 10

e. 12
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by shankar.ashwin » Mon Oct 03, 2011 6:57 am
Already discussed a lot of times here. Search the forum, you will find a lot of explanations.

https://www.beatthegmat.com/mgmat-coordi ... tml#405034
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by sl750 » Mon Oct 03, 2011 8:42 am
In each quadrant you have 2 sets of points in each quadrant and one each along the x and y axes. (6,8),(8,6),(10,0),(6,-8),(8,-6),(0,-10),(-6,-8),(-8,-6),(-10,0),(-6,8),(-8,6),(0,10)
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