4. Two touching circles S and T share a common tangent which meets
• The use of rulers and compasses is allowed, but
calculators and protractors are forbidden.
S at A and T at B. Let AP be a diameter of S and let the tangent
from P to T touch it at Q. Show that AP = P Q.
• Start each question on a fresh sheet of paper. Write
on one side of the paper only. On each sheet of
working write the number of the question in the
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