Optional Mathematics Class 10

Chapters mentioned in the syllabus are styled in bold.

Unit 1 – Algebra

Algebraic Function

Trigonometric Functions

Sequence and Series

Unit 2 – Limit and Continuity

  • Numbers and Continuity
  • Discontinuity in graph
  • Notational Representation of Continuity

Unit 3 – Matrix

Unit 4 – Coordinate Geometry

  • Angle between two lines
  • Pair of straight lines
  • Conic Section
  • Circle

Unit 5 – Trigonometry

Unit 6 – Vector

  • Scalar Product of Vectors
  • Vector Geometry
  • Theorems related to Triangle
  • Theorems on Quadrilateral and Semicircle

Unit 7 – Transformation

  • Combination of Transformation
  • Inversion Transformation and Inversion Circle
  • Transformation using Matrices

Unit 8 – Statistics

  • Introduction to Statistics
  • Quartiles, Quartile Deviation and their Coefficient
  • Arithmetic Mean in Statistics
  • Mean Deviation
  • Standard Deviation