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Chapter 8: Binomial Theorem

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  4. Chapter 8: Binomial Theorem Notes

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Chapter 4: Principle of Mathematical Induction
  • 1. Motivation and Process of proof by induction
  • 2. Principles of Mathematical induction and simple applications
Chapter 5: Complex Numbers and Quadratic Equations
  • 1. Imaginary Numbers and Powers
  • 2. Complex Numbers and Algebra of Complex Numbers
  • 3. The Modulus and the Conjugate of a Complex Numbers
  • 4. Solving Quadratic equations in complex numbers
  • 5. Square Root and Cube Root Of Complex Numbers
Chapter 6: Linear Inequalities
  • 1. Inequalities and Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
  • 2. Graphical methods and Solution of Linear Inequalities in Two Variables
  • Graphical solution of linear inequalities in two variables.
  • Graphical solution of system of linear inequalities in two variables.
Chapter 7: Permutation and Combinations
  • 1. Fundamental Principle of Counting
  • 2. Permutations and Factorial notation
  • 3. Combinations and Simple applications
Chapter 9: Sequence and Series
  • 1. Sequences and Series
  • 2. Arithmetic Progression (AP) and Arithmetic Mean (AM)
  • 3. Geometric Progression (GP) and Geometric Mean (GM)
  • 4. Sum to n Terms of Special Series
  • 5. Infinite GM and its sum
  • geometric mean (G.M.),
  • relation between A.M. and G.M
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