2. Two circles S and T touch at X . They have a common tangent which
to complete a small number of questions than to
meets S at A and T at B. The points A and B are different. Let AP
try all the problems.
be a diameter of S. Prove that B , X and P lie on a straight line.
• Each question carries 10 marks. However, earlier
questions tend to be easier. In general you are
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