The second stage examination of INMO, the Regional Mathematical Olympiad (RMO) is a three hour examination with six problems. The problems under each topic involve high level of difficulty and sophistication. The book, Challenge and Thrill of Pre-College Mathematics is very useful for preparation of RMO. West Bengal RMO 2015 Problem 1 Solution has been written […]
RMO 2015 West Bengal discussion is a part of math olympiad program preparation offered by Cheenta.
Sine rule is an important rule relating to the sides and angles of any triangle. Here is a Subjective problem no. 120 from TOMATO. Try it. Problem: Sine Rule and Triangle (i) If $ A + B +C = n \pi $ and $ s=2 $, show that $ \sin 2A + \sin 2B + […]
This is a subjective problem from TOMATO based on Graphing integer value function. Problem: Graphing integer value function Let [x] denote the largest integer (positive, negative or zero) less than or equal to x. Let $ y= f(x) = [x] + \sqrt{x - [x]} $ and $ s=2 $ be defined for all real numbers […]
সংখ্যাতত্ত্ব লেখাটিতে আমরা Pythagorean triplet বা পিথাগোরীয়ান ত্রয়ী নিয়ে আলোচনা করা হয়েছে ।
Problem: Problem on Asteroid Let PQ be a line segment of a fixed length L with it's two ends P and Q sliding along the X axis and Y-axis respectively. Complete the rectangle OPRQ where O is the origin. Show that the locus of the foot of the perpendicular drawn from R on PQ is […]
This is a Test of Mathematics Solution Subjective 128 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Draw the graph (on plain paper) of f(x)= min { |x| -1, |x-1| - […]
Try this Arithmetic Mean - Geometric Mean Subjective Problem number 82 from TOMATO. Problem: Arithmetic Mean - Geometric Mean Let $ {a, b, c, d}$ be positive real numbers such that $ {abcd = 1}$. Show that, $ {\displaystyle{(1 + a)(1 + b)(1 + c)(1 + d) {\ge} {16}}}$ Solution: $ {{\sum{a}} = a + […]