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Locus of a point in a certain relation to a rhombus

Source: RomNO 2003, grade xi, p.1

August 27, 2019
geometryrhombusanalytic geometryPure geometry

Problem Statement

Find the locus of the points M M that are situated on the plane where a rhombus ABCD ABCD lies, and satisfy: MA⋅MC+MB⋅MD=AB2 MA\cdot MC+MB\cdot MD=AB^2
Ovidiu Pop
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