Maths Olympiad Exam

Let ABCD be a quadrilateral inscribed p in a circle. Suppose AB = 2 + p2 and AB subtends 135 at the centre of the circle. Find the maximum possible area of ABCD

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Maths Olympiad Other Question

Let ABC be a triangle. An interior point P of ABC is said to be good if we can find exactly 27 rays emanating from P intersecting the sides of the triangle ABC such that the triangle is divided by these rays into 27 smaller triangles of equal area. Determine the number of good points for a given triangle ABC. Q. In a lottery there are 8 prizes and 16 blanks. What is the probablity of getting a prize