MathDB

2013 Guts #1: Coordinates and a Marker

Source:

February 17, 2013

analytic geometrygeometrysimilar triangles

Problem Statement

Arpon chooses a positive real number

k

. For each positive integer

n

, he places a marker at the point

(n,nk)

in the

(x,y)

plane. Suppose that two markers whose

x

-coordinates differ by

4

have distance

31

. What is the distance between the markers

(7,7k)

and

(19,19k)

?

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