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locus as point defines circle

Source: Bulgaria 1986 P5

June 15, 2021

Locusgeometrycircles

Problem Statement

Let

A

be a fixed point on a circle

k

. Let

B

be any point on

k

and

M

be a point such that

AM:AB=m

and

\angle BAM=\alpha

, where

m

and

\alpha

are given. Find the locus of point

M

when

B

describes the circle

k

.

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