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smc

geometry intermediate

Problem

The number of points equidistant from a circle and two parallel tangents to the circle is:
(A)
(B)
(C)
(D)
Solution
The distance between the two parallel tangents is the length of the circle's diameter, so the distance from a point that satisfies the conditions and the two tangents is the length of the circle's radius. From the diagram, there are points that satisfies the conditions.
Final answer
C