MathDB

The two points

P(8, 2)

and

Q(5, 11)

are considered in the plane. A mobile moves from

P

Q

according to a path that has to fulfill the following conditions: The moving part of

P

and arrives at a point on the

x

-axis, along which it travels a segment of length

1

, then it departs from this axis and goes towards a point on the

y

axis, on which travels a segment of length

2

, separates from the

y

axis finally and goes towards the point

Q

. Among all the possible paths, determine the one with the minimum length, thus like this same length.

Problem Statement