Point to be Remembered

Chapter 1: Sets

  • Introduction to sets
  • Sets and their representations
  • Empty set
  • Finite and infinite sets
  • Equal sets
  • Subsets
  • Universal set
  • Venn diagram
  • Operations on sets
  • Complement of a set

     

  • Cartesian product of sets
  • Relations
  • Functions
  • Domain, codomain, and range of a function

     

  • Angles and their measures
  • Trigonometric functions
  • Trigonometric identities
  • Graphs of trigonometric functions

     

  • Introduction to complex numbers
  • Algebra of complex numbers
  • Modulus and conjugate of a complex number
  • Argand plane and polar representation

     

  • Linear inequalities in one variable
  • Graphical solution of linear inequalities in two variables

     

  • Fundamental principle of counting
  • Permutations
  • Combinations

     

  • Binomial expansion
  • Pascal’s triangle
  • General and middle terms

     

  • Arithmetic progression
  • Geometric progression
  • Arithmetic mean
  • Geometric mean

     

  • Slope of a line
  • Various forms of the equation of a line
  • Distance of a point from a line

     

  • Sections of a cone
  • Circle
  • Parabola
  • Ellipse
  • Hyperbola

     

  • Coordinate axes and planes in 3D
  • Coordinates of a point
  • Distance between two points

     

  • Limits
  • Evaluation of limits
  • Derivatives
  • Derivatives of polynomials and trigonometric functions

     

  • Measures of dispersion
  • Range
  • Mean deviation
  • Variance and standard deviation

     

  • Sample space and events
  • Types of events
  • Probability calculations

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