In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (3,3) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.	Choose one
A) (-2,6)	B) (0,4)	C) (2,-6)	D) (2,6)	E) (4,0)
Area.pngSince A is equidistant from points O and B, then it must be somewhere on the green line (perpendicular bisector of OB).   (2,-6) and (2,6) are not on that line. If A is at (0,3) or (3,0), then the area is 1/2*3*3=9/2. Thus A must be at (2,6).   Answer: (2,6).
<result>D</result>
In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (3,3) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.