Problem: Line intersects line and line is parallel to . The three lines are distinct and lie in a plane. The number of points equidistant from all three lines is:
Answer Choices:
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Solution:
Let be the set of points such that each point is equidistant from and . Designate the distance by d. Let and be the set of points at the distance from and are parallel to The intersection set of , and , containing two points, is the required set of points