MathDB

2022 PUMaC Team #12

Source:

September 9, 2023

analytic geometry

Problem Statement

Observe the set

S =\{(x, y) \in Z^2 : |x| \le 5

and

-10 \le y\le 0\}

. Find the number of points

P

in

m

such that there exists a tangent line from

b

to the parabola

y = x^2 + 1

that can be written in the form

y = mx + b

, where

m

and

b

are integers.

Back to Problems View on AoPS