On the \(xy\)-coordinate plane, point \(A\) lies on the \(y\)-axis and point \(B\) lies on the \(x\)-axis. Points

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 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 \(C?\)

A. \((-6, -5)\)

B. \((-5, 12)\)

C. \((6, -9)\)

D. \((9, -8)\)

E. \((10, -3)\)

The OA is B