MathDB

IV Lusophon Mathematical Olympiad 2014 - Problem 4

Source:

December 28, 2014

Problem Statement

From a point

K

of a circle, a chord

KA

(arc

AK

is greather than

90^{o}

) and a tangent

l

are drawn. The line that passes through the center of the circle and that is perpendicular to the radius

OA

, intersects

KA

B

and

l

C

. Show that

KC = BC