In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (5,5) 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 the correct choice from the following answers:
A) ( - 2,6 )  B) ( 0,4 )  C) ( 2 , - 6 )  D) ( 2,6 )  E) ( 4,0 )

Rationale: 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 ( 0,5 ) or ( 5,0 ) , then the area is 1 / 2 * 5 * 5 = 25 / 2 . thus a must be at ( 2,6 ) . answer : d .
Answer: D