RMO 2018 Tamil Nadu Problem 2 – real quadratic

RMO 2018 Tamil Nadu Problem 2 – real quadratic

RMO 2018 Tamil Nadu Problem 2 is from Theory of Equations. We present sequential hints for this problem. Do not read all hints at one go. Try it yourself. Problem Find the set of all real values of a for which the real polynomial equation \( P(x) = x^2 – 2ax + b...
RMO 2018 Tamil Nadu Problem 1 – angle bisector

RMO 2018 Tamil Nadu Problem 1 – angle bisector

RMO 2018 Tamil Nadu Problem 1 is from Geometry. We present sequential hints for this problem. Do not read all hints at one go. Try it yourself. Problem Let ABC be an acute-angled triangle and let D be an interior point of the line segment BC. Let the circumcircle of...
RMO2018 Tamil Nadu Solutions and Problems

RMO2018 Tamil Nadu Solutions and Problems

RMO2018 Tamil Nadu Solutions (Sequential Hints) and related discussion follows. This is a work in progress. Also see Advanced Math Olympiad Program Let ABC be an acute-angled triangle and let D be an interior point of the line segment BC. Let the circumcircle of...