Find the shape and symmetries of the two pieces of this cut cube.
A and B are two points on a circle centre O. Tangents at A and B
cut at C. CO cuts the circle at D. What is the relationship between
areas of ADBO, ABO and ACBO?
Sketch the graphs for this implicitly defined family of functions.
Rosalind Goudie from Madras College, St Andrew's sent a good
solution to this problem.