IIT JEE (Main and Advance) Mathematics Binomial Theorem

The binomial theorem presents us with the opportunity to weave many different mathematical strands into one lesson. It has a fascinating history - the study of which leads to a better understanding of how mathematics evolved. In this paper we have involved computer graphics geometry algebra and combinatorics in the derivation of the binomial theorem. The study of functions with finite domains and ranges helps students understand some of the more subtle properties of functions which have the set of real numbers for their domain and range. These are the functions which they study to the exclusion of all others in high school and in their first two years in college. We believe that the lesson presented in this paper encourages students to express mathematical ideas in the vernacular one of the major standards recommended by the National Council of Teachers of Mathematics (NCTM). Because of the growing role of Binomial Theorem in various fields in Mathematics such as in calculus and number theory and even in societal advancements such in technology and business mathematicians continue to explore new developments in this interesting theorem.