Senior Secondary School Mathematics FOR CLASS 11

Mathematics

Binomial Theorem

This chapter discusses the Binomial Theorem. It describes this theorem for non-negative integers and positive integral index, along with some deductions. We will also learn about the Binomial Theorem for a rational index.

This Chapter from Senior Secondary School Mathematics FOR CLASS 11 has 3 topics to practice on Binomial Theorem

Binomial Theorem (for Non-Negative Integers)

Binomial Theorem For Positive Integral Index

Middle Term in a Binomial Expansion

Binomial Expansion: Illustration

Middle Term in Binomial Expansion: Illustration

Maximum Value of a Binomial Coefficient

Middle Term in Binomial Expansion

Relation Between Binomial Coefficients

Properties of Binomial Coefficients

Binomial Theorem: Introduction

This chapter discusses the concept of Arithmetic Progression (AP) by defining sequence and progressions. It explains how to determine the general term, the nth term from the end, and the sum of n terms of an AP, along with its properties.

Arithmetic Progression

This chapter explores Infinite Geometric Series. It includes the formula to find the sum of first n natural numbers and the sum of the cubes of first n odd natural numbers. It also presents the sum of the squares and cubes of first n natural numbers.

Some Special Series

This chapter discusses Linear Inequations in Two Variables. It describes the standard form of linear inequalities in two variables. The method of finding the solution of these inequalities is also covered.

Linear Inequations (In two variables)

This chapter discusses the basics of Combination. It highlights the formulae used to evaluate the Combination of any kind. It also explains the Fundamental Principles of Counting (FPC) along with the addition principle.

Combinations

This chapter sheds light on the concept of Geometrical Progression (GP). We will understand GP with its first term, common ratio, and nth term. The general term and the sum of n terms of a GP are discussed. It also explains the properties of GP.

Geometrical Progression

In this chapter, we will study the conjugate, equality, product, modules, and sum and difference of Complex Numbers. The properties of addition, multiplication, and division of Complex Numbers and Quadratic Equations with complex roots are described.

Complex Numbers and Quadratic Equations

This chapter discusses the Principles of Mathematical Induction, a technique used to prove certain mathematically accepted statements. We will study how these statements are formulated using positive integers through examples.

Principle of Mathematical Induction

This chapter discusses Linear Inequations in One Variable. It describes the standard form of linear inequalities in one variable. The method of finding the solution of these inequalities is also covered.

Linear Inequations (In one variable)

This chapter discusses the fundamentals of Permutation. It provides us with the formulae for calculating Permutation. It also describes calculating Permutation of distinct objects and 'n' distinct objects taken all at a time.

Permutations

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Binomial Theorem

R S Aggarwal Mathematics Solutions from Chapter 10 - Binomial Theorem

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