[CLA notes 2 : It is possible to guess the answers but the usual practice of the day was for the students to submit the work needed to arrive at the answer as well as the answers. Try to formally write out all the steps needed to arrive definitively at the answer.]
[CLA notes : Every bit of information reveals something important about the two circles. Be careful and be thorough in examination of the problem and expect the work involved to be made up of
multiple parts. ]
[CLA notes : Another straight forward problem. If you consider the properties involved, you can
easily note that there is a simple way to solve this problem. ]
[CLA note : A relatively straight forward problem that can be solved in multiple ways. It would be
good to practice all the different ways.]
[CLA note : If you remember the distance formula and the Pythagorean Theorem , this problem is
solvable. Remember to give as much details to the shape of the path of the point P ]
[CLA note : A good problem to refresh your memory about angles, triangles, circles, and chords.
Try following link :
[CLA note : As many would have guessed, this is a counting problems about choosing three dots.
Think very carefully about how many lines you can draw on the picture that will pass through at
least three dots.]
[CLA note : This is a very challenging problem that requires thorough understanding of many aspects
of calculus. It is a problem worth doing once every year.]