Challenge 323: Extreme Areas
Circle C passes through O(0,0) and P(5,12). Q is a point on circle C.
(i) What is the least possible area of C?
(ii) If C has the least possible area, what is the largest possible area of triangle OPQ?
Circle C passes through O(0,0) and P(5,12). Q is a point on circle C.
(i) What is the least possible area of C?
(ii) If C has the least possible area, what is the largest possible area of triangle OPQ?