MathDB

2022 Team P12

Source:

February 28, 2022

team

Problem Statement

Let

ABCD

be a cyclic quadrilateral with

\Gamma

and circumcircle

\Gamma.

The tangents to

\Gamma

at

A

and

C

intersect at

P

and the tangents to

\Gamma

at

B

and

D

intersect at

Q.

Suppose lines

PB

and

PD

intersect

\Gamma

at points

W \neq B

and

X \neq D,

respectively. Similarly, suppose lines

QA

and

QC

intersect

\Gamma

at points

Y \neq A

and

Z \neq C,

respectively. What is the value of

\frac{{WX}^2}{{YZ}^2}?

Proposed by Kyle Lee

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