46

Part of 1985 IMO Longlists

Problems(1)

The curve y=x^3

Source:

C

be the curve determined by the equation

y = x^3

in the rectangular coordinate system. Let

t

be the tangent to

P

C

P

M

at another point

C

. Find the equation of the set

L

of the midpoints

C

L.

P

C

. Is the correspondence associating

P

M

C

L

? Find a similarity that transforms

C

L.

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