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locus of the intersection points of PS,RQ, intersecting circles related

Source: 1998 Belarus TST 8.1

June 9, 2020

geometryLocuscirclesangles

Problem Statement

Two circles

S_1

and

S_2

intersect at different points

P,Q

. The arc of

S_1

lying inside

S_2

measures

2a

and the arc of

S_2

lying inside

S_1

measures

2b

. Let

T

be any point on

S_1

. Let

R,S

be another points of intersection of

S_2

with

TP

and

TQ

respectively. Let

a+2b<\pi

. Find the locus of the intersection points of

PS

and

RQ

.
S.Shikh