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geometry intermediate

Problem

The locus of the centers of all circles of given radius , in the same plane, passing through a fixed point, is:
(A)
(B)
(C)
(D)
Solution
If a circle passes through a point, then the point is units away from the center. That means that all of the centers are units from the point. By definition, the resulting figure is a circle, so the answer is .
Final answer
D