MathDB

VietNam MO 1966-Pr.2

Source:

February 18, 2007

geometry opengeometry

Problem Statement

a, b

are two fixed lines through

O

. Variable lines

x, y

are parallel.

x

intersects a at

A

and

b

at

C

,

y

intersects

a

at

B

and

b

at

D

. The lines

AD

and

L, M, N

meet at

M

. The line through

M

parallel to

x

meets

a

at

L

and

b

at

N

. What can you say about

L, M, N

? Find the locus

M

.

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