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.

Q: A line segment joining two points on the circumference of a circle is 1 inch from the center of the circle at its closest point. If the circle has a 2-inch radius, what is the length of the line segment?
(A)1 (B)\(\sqrt{3}\) (C)2 (D)\(2\sqrt{3}\) (E)\(4\sqrt{3}\)

A: D
****
Q: How many lines can be drawn from one vertex of a cube to the other vertices of the cube, such that the lines are not parallel to any edge of the cube?
(A)4 (B)6 (C)7 (D)24 (E)42

A: A
****
Q: Points A, B and C are three vertices of a triangle. The location of point X is such that AX = BX. Which of the following could be true? I. X is on \(\overline { AB } \) II. X is inside \(\triangle { ABC } \) III. X is outside \(\triangle { ABC } \)
(A)I only (B)III only (C)I and II only (D)II and III only (E)I, II and III

A:
E
****