MathDB

Let

x,y

be cartesian coordinates in the plane.

I

denotes the line segment

1\leq x\leq 3 , y=1.

For every point

P

I

, let

P'

denote the point that lies on the segment joining the origin to

P

and such that the distance

P P'

is equal to 1 \slash 100. As

P

describes

I

, the point

P'

describes a curve

C

. Which of

I

and

C

has greater length?

Problem Statement