MathDB

tangents of one circle intersect on another circle

Source: 2002 Romania JBMO TST4 p3

May 16, 2020

geometrycirclesTangentsconcurrentconcurrency

Problem Statement

Let

C_1(O_1)

and

C_2(O_2)

be two circles such that

C_1

passes through

O_2

. Point

M

lies on

C_1

such that

M \notin O_1O_2

. The tangents from

M

O_2

meet again

C_1

A

and

B

. Prove that the tangents from

A

and

B

C_2

- others than

MA

and

MB

- meet at a point located on

C_1