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:
A(-3,2) B(1,2) C(6,-1) The coordinates of points A, B and C in the xy- plane are given above. What is the area of \(\triangle { ABC } \) ?
(A)6 (B)8 (C)10 (D)12 (E)18
answer:
A


question:
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)\(4\sqrt{3}\)
answer:
D


question:
What is the y-intercept of the linear equation \(3y - 33x = 12\)?
(A)\(-4\) (B)\(-2\) (C)0 (D)3 (E)4
answer:

E