MathDB

Two circles are internally tangent at

N

. The chords

BA

and

BC

of the larger circle are tangent to the smaller circle at

K

and

M

respectively.

Q

and

P

are midpoint of arcs

AB

and

BC

respectively. Circumcircles of triangles

BQK

and

BPM

are intersect at

L

. Show that

BPLQ

is a parallelogram.

Problem Statement