instruction:
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.
question:
In the standard x, y-coordinate plane, the center of circle O is the origin. If circle O has an area of \(25 \pi\), each of the following points lies on the circumference of the circle EXCEPT
(A)\((5, 0)\) (B)\((4, -4)\) (C)\((3, 4)\) (D)\((-3, 4)\) (E)\((-4, 3)\)
answer:
B


question:
In square \(ABCD\), vertex \(A\) is at (-1, -1) and vertex \(C\) is at (4, 2). What is the area of square \(ABCD\)?
(A)9 (B)15 (C)17 (D)25 (E)34
answer:
C


question:
If the lengths of the sides of a certain triangle are a, b, and c, which of the following statements could be true?
(A)\(c = b + a\) (B)\(c = b - a\) (C)\(c = 2a + b\) (D)\(c + 2 = a + b + 3\) (E)\(c + 3 = a + b + 2\)
answer:

E


