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.
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