Get motivated… try this quiz Understand the problem Arithmetic mean and Geometric mean are useful algebraic tools. They have beautiful geometric interpretation as well. The following video takes a tour into the ideas. Tutorial Problems… try these before...

Understand the problem Cauchy Schwarz Inequality is a powerful tool in Algebra. It was beautiful geometric implications as well. Watch the video and solve the tutorial problems to delve deep into the idea. Tutorial Problems! 1. Look at the expression ( sqrt{x_1^2 +...

Understand the problem Given a circle , let be a point in its interior, and let be a line passing through . Construct with proof using a ruler and compass, all circles which pass through , are tangent to , and whose centres lie on . Source of the problem RMO 2019...

Understand the problem For each ( n in mathbb{N} ) let ( d_n ) denote the G.C.D. of n and (2019 – n). Find the value of ( d_1 + d_2 + … + d_{2019} ). Source of the problem Regional Math Olympiad, 2019, Maharashtra, Goa Region Problem 1 Topic Number...

Understand the problem The sequence of positive integers satisfies for .Prove that there exists at most one for which is the cube of an integer. Source of the problem Ireland MO 2018, Problem 9 Topic Number Theory Difficulty Level 8/10 Suggested Book Excursion in...

Understand the problem Let be a prime number. Find all positive integers such that: Source of the problem France IMO TST 2012, Problem 3 Topic Number Theory Difficulty Level 7/10 Suggested Book Challenges and Thrills of Pre College Mathematics Start with...