Try this beautiful Problem from Geometry based on Area of the Trapezium from PRMO 2017. Area of the Trapezium – PRMO 2017, Problem 30 Consider the areas of the four triangles obtained by drawing the diagonals $\mathrm{AC}$ and $\mathrm{BD}$ of a trapezium ABCD....

Try this beautiful problem from Geometry: Problem on Circle and Triangle Problem on Circle and Triangle – AMC-10A, 2016- Question 21 Circles with centers $P, Q$ and $R,$ having radii 1,2 and 3 , respectively, lie on the same side of line $l$ and are tangent to...

This is our 6th post in our ongoing probability series. In this post, we deliberate about the famous Bertrand’s Paradox, Buffon’s Needle Problem and Geometric Probability through barycentres. **(10 min read)** “Geometry is not true, it is...

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Number of points and planes. Number of points and planes – AIME I, 1999 Ten points in the plane are given with no three collinear. Four distinct segments...

Try this beautiful Problem on Graph Coordinates from coordinate geometry from AMC 10A, 2015. Graph Coordinates – AMC-10A, 2015- Problem 12 Points $(\sqrt{\pi}, a)$ and $(\sqrt{\pi}, b)$ are distinct points on the graph of $y^{2}+x^{4}=2 x^{2} y+1 .$ What is...

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Length and Triangle. Length and Triangle – AIME I, 1987 Triangle ABC has right angle at B, and contains a point P for which PA=10, PB=6, and \(\angle...