CIRCLES S1AND S2 MEET AT L AND M . LET P BE A POINT ON S2. LET P L•...

5. - ĐỀ THI OLYMPIC TOÁN HỌC QUỐC TẾ BMO NĂM 2011
Toán ĐỀ THI OLYMPIC TOÁN HỌC QUỐC TẾ BMO NĂM 2011

5. Circles S

1

and S

2

meet at L and M . Let P be a point on S

2

. Let P L

• Staple all the pages neatly together in the top left

and P M meet S

1

again at Q and R respectively. The lines QM and

hand corner.

RL meet at K. Show that, as P varies on S

2

, K lies on a fixed circle.

• To accommodate candidates sitting in other time-

zones, please do not discuss the paper on the