Sometimes we are interested in the relative position of a point with respect to a triangle. Is it close to the vertices? Is it closer to one of the sides compared to the other sides? This brings home the notion of mass point coordinates or barycentric coordinates.
We are having a full fledged Problem Solving Marathon. We are receiving wonderful responses from the end of our students which is making the session more and more alluring day by day. Here we are providing the problems and hints of "Problem Solving Marathon Week 2". The Set comprises three levels of questions as following-Level 0- for […]
Barycentric coordinates can be very useful in solving advanced geometry problems for math olympiad. We take a leaf of Cheenta lectures on this idea.
Problem Solving Marathon Week1 Solution the effortless attempt from Cheenta's existing student as well as from the end of mentor.
Combinatorics is one of the most important topic for the preparation of Mathematics Olympiad culture as well as American Mathematical Contest(also known as AMC). AMC10/12 Combinatorics Problem which is composed of selected problems from previous year. AMC 10 [Q.1]A scanning code consists of a $latex 7 \times 7$ grid of squares, with some of its […]
Problem Solving Marathon Week 1 is an initiative from Cheenta's end to enhance the problem solving skill of the existing student body.
Stabilization is an important tool in combinatorics. An application in AMC 8, 2018, Problem 19, on 'sign pyramid' illustrates the technique
INMO is organized by HBCSE-TIFR. This post is dedicated for INMO 2019 Discussion. You can post your ideas here.
Simson lines arise naturally. Imagine a triangle as a reference frame. Let a point float on the plane of the triangle. How far is the point from the sides of the triangle?
A beautiful curved triangle appears when we run along the circumference! A magical journey into the geometry of Steiner's Deltoid.
This is a beautiful problem from ISI MSTAT 2019 PSA problem 11 based on basic counting principles . We provide sequential hints so that you can try .
This is a beautiful problem from ISI MSTAT 2019 PSA problem 6 based on basic counting principles . We provide sequential hints so that you can try .
Try this beautiful problem from Geometry based on lengths of the rectangle from AMC-10A, 2009. You may use sequential hints to solve the problem.
Try this beautiful problem from AMC 10A, 2003 based on Probability in Divisibility. You may use sequential hints to solve the problem.
This is a beautiful problem from ISI MSTAT 2019 PSA problem 4 based on basic counting principles . We provide sequential hints so that you can try .
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on function. You may use sequential hints.
Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on Fibonacci sequence.
This is a beautiful problem from ISI Mstat 2019 PSA problem 17 based on limit of a function. We provide sequential hints so that you can try this .
This problem is a very easy and cute problem of probability from ISI MStat 2019 PSA Problem 18.