LET ABC BE A TRIANGLE. LET S BE THE CIRCLE THROUGH B TANGENT TO CAI...

6. Let ABC be a triangle. Let S be the circle through B tangent to CA

in question number order.

at A and let T be the circle through C tangent to AB at A. The

• Staple all the pages neatly together in the top left

circles S and T intersect at A and D. Let E be the point where the

hand corner.

line AD meets the circle ABC. Prove that D is the midpoint of AE.

• To accommodate candidates sitting in other time-

zones, please do not discuss the paper on the

internet until 8am GMT on Saturday 1 December.

Do not turn over until told to do so.