TWO CIRCLES S AND T TOUCH AT X . THEY HAVE A COMMON TANGENT WHICHTO...

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