1

Part of 2015 SDMO (High School)

Problems(1)

Infinitely many circles in a circle

Source: 2015 SDMO High School Problem 1

\mathcal{C}

be a circle and let

P

Q

be points inside

\mathcal{C}

. Prove that there are infinitely many circle through

P

Q

that are completely contained inside of

\mathcal{C}