MathDB

In circle with radius

10

, point

M

is on chord

PQ

such that

PM=5

and

MQ=10

. Through point

M

we draw chords

AB

and

CD

, and points

X

and

Y

are intersection points of chords

AD

and

BC

with chord

PQ

(see picture), respectively. If

XM=3

find

MY

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Problem Statement