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The Midpoint Locus (Posted on 2019-10-11) |
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Let C1 and C2 be circles with centres 10 units apart, with radii of length 1 and 3 respectively. Firstly find the locus of all points, M, for which there exist points X on C1 and Y on C2 such that M is the midpoint of the line segment XY. Then find the area of the closed region inscribed by the locus.
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