Problem:
In the -plane, the segment with endpoints and is the diameter of a circle. If the point is on the circle, then
Answer Choices:
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Solution:
The radius of the circle is , and the midpoint of the diameter is . Thus an equation of the circle is . Let in this equation to find that
The circle has center , diameter , and hence radius . Since is units from the given diameter, the radius to must be perpendicular to that diameter. Thus .
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