3. Let ABC be a triangle with
6 CAB a right-angle. The point L lies on
• Each question carries 10 marks. However, earlier
the side BC between B and C. The circle ABL meets the line AC
questions tend to be easier. In general you are
again at M and the circle CAL meets the line AB again at N . Prove
advised to concentrate on these problems first.
that L, M and N lie on a straight line.
• The use of rulers and compasses is allowed, but
calculators and protractors are forbidden.
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