This is a problem which appeared in IIT JAM 2018. So this problem requires basic concepets of supremum and infimum from real analysis part.
This is a problem which appeared in IIT JAM 2018. So this problem requires basic concepets of supremum and infimum from real analysis part.
Extremal Principle is used in a variety of problems in Math Olympiad. The following problem from AMC 10 is a very nice example of this idea.
‘Teachers for Tomorrow’ is a unique program for parents and teachers who wish to take their kids / students an extra mile in mathematical training. Cheenta uses modern tools (such as Latex, GeoGebra, STACK etc.) to deliver its courses. It also uses carefully experimented teaching methods developed in USSR, United States, and India. We firmly believe that these tools and methods are very valuable in stimulating creativity in young mind.
Try this beautiful problem from AMC 8. It involves geometry of circles and rectangles. We provide sequential hints so that you can try the problem.
Geometric Transformation is a powerful tool in Geometry. We look at one such transformation: Spiral Similarity. Try the problems after watching the video.
Auxiliary polynomials are useful for solving complicated polynomial problems. This problem from ISI Entrance (and a Soviet Olympiad) is a good example.
This problem appeared in IIT JAM 2018 whch pricisely reqiures concepts of sequences and subsequences from mathematical field real analysis
Try this beautiful problem from AMC 8. It involves number theory and logical reasoning. We provide sequential hints so that you can try the problem.
This is an application abstract algebra question that appeared in IIT JAM 2018. The concept required is the cyclic groups , subgroups and proper subgroups.