Mathematics

Problem

The diagonals

AC

and

BD

of a parallelogram

ABCD

intersect each other at

O

PQ

is a line through

O

which meets

BC

P

and

AD

Q

. If

ar(\text{quad. } ABPQ)=k\,ar(\text{Parallelogram }ABCD)

, then

k=

![Diagram of a parallelogram ABCD. Diagonals AC and BD intersect at O. A line PQ passes through O, intersecting BC at P and AD at Q.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/de6f23467a0c477c93b93872db356c45/935eed7aa61f7777f62cfc032e11bee9_img.jpg)

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