Coordinate geometry

[rishisbook]

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

Instructors, please explain better method of solving this question. The method shown in MGMAT CAT asks you to assume four coordinates, which i was unable to assume while solving.

[jnelson0612]

Please see this thread: a-certain-square-is-to-be-drawn-on-a-coordinate-plane-t1016.html

Since it is a square, you do need to assume that it will have four points. I hope this thread will help you!