Problem Let ABCD be a convex cyclic quadrilateral . Suppose P is a point in the plane of the quadrilateral such that the sum of its distances from the vertices of ABCD is the least .If {PA,PB,PC,PD} = {3,4,6,8}.What is the maximum possible area of ABCD? Topic Geometry Contest Pre Regional Math Olympiad2019 ReadingMathematical circle […]
This is a work in progress. Please post your answers in the comment. We will update them here. Point out any error that you see here. Thank you. 1. 4 2. 13 3. 13 4. 72 5. 10 6. 29 7. 51 8. 49 9. 14 10. 55 11. 6 12. 18 13. 10 14. […]
A basic and beautiful application of Numebr Theory and Modular Arithmetic to the Bangladesh MO 2019 Problem 1.
This problem is a cute and simple application of the technique of reducing the sample space of solutions by the modulo operation.