You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

If the graph of the function g in the xy-plane contains the points (0,4), (-2,0), and (2,0), which of the following could be true? I. The graph of g is a parabola. II. The graph of g has a maximum value. III. The graph of g is a line.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
D

If A is at (3, -1) and B is at (5, 6) what is the slope of the perpendicular bisector of segment \(\overline { AB } \) ?
(A)\(-\frac { 7 } { 2 } \) (B)\(-\frac { 2 } { 5 } \) (C)\(-\frac { 2 } { 7 } \) (D)\(\frac { 2 } { 7 } \) (E)\(\frac { 2 } { 5 } \)
C

What is the area of the circle whose center is at O (2, -2) and that passes through point P (3, 3)?
(A)\(2\pi\) (B)\(6\pi\) (C)\(10\pi\) (D)\(25\pi\) (E)\(26\pi\)

E