by Ashani Dasgupta

Inverse maps are very important in Real analysis. They form the backbone of the definition of continuity. Subscribe to our Youtube Channel... by Ashani Dasgupta

RMO 2018 Tamil Nadu Problem 3 is from Number Theory. We present sequential hints for this problem. Do not read all hints at one go. Try it yourself. Problem Show that there are infinitely many 4-tuples (a, b, c, d) of natural numbers such that \( a^3 + b^4 + c^5 = d^7... by Ashani Dasgupta

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... by Ashani Dasgupta

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... by Ashani Dasgupta

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...