Class 9

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Surds

  • Irrational numbers
  • Introduction to surds
  • Rationalization of surds
  • Square root and cube root of a surd

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Complex Numbers

  • Introduction to complex numbers
  • Operations on complex numbers.
  • Conjugate of a complex number

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Logarithms

  • Introduction to logarithms
  • Laws of logarithms

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Algebra

  • Review of algebra
  • Remainder theorem
  • Factor theorem
  • Cyclic expressions

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Quadratic Equations

  • Introduction to quadratic equations
  • Equations reducible to quadratic form
  • Nature of roots
  • Symmetric functions of roots

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Co-Ordinate Geometry

  • Distance formula
  • Section formula
  • Slope and intersection of two lines
  • Equation of a line in various forms
  • Area of a triangle

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Geometry

  • Mid-point theorem
  • Similarity of triangles
  • Degree measure of an arc
  • Cyclic quadrilaterals

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Mensuration

  • Review of mensuration
  • Surface area and volume of a cone
  • Surface area and volume of a sphere
  • Surface area and volume of combined solids

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Statistics

  • Mean of grouped data
  • Median of grouped data
  • Mode of grouped data

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Probability

  • Introduction to probability

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Trigonometry

  • Measure of an angle
  • Trigonometric ratios and identities
  • Elimination of an angle
  • Allied angles
  • Compound angles

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Set Theory

  • Review of set theory
  • Venn diagrams
  • Cardinality of sets

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Relations

  • Introduction to relations
  • Types of relations

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Functions

  • Introduction to functions
  • Types of functions

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Limits

  • Introduction to limits

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Progressions

  • Arithmetic progression
  • Sum to n terms of an A.P.
  • Arithmetic mean

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Matrices

  • Introduction to matrices
  • Multiplication of matrices

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