On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 30. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?  Choose the most appropriate option
A) (2, 25)  B) (4, -15)  C) (3, -24)  D) (-2, 16)  E) (-6, -12)
The area of the triangle formed will be:   1/2 * base * height =   1/2 * |(X-coordinate of point C)| * |(Y-coordinate of point C)| = 30   Thus |product of coordinates of point C| = 60   The answer is (4, -15).
<result>B</result>
On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 30. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?