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12th Standard Maths English Medium Chapters / Lessons 2024-2025

Applications of Matrices and Determinants

Complex Numbers

Theory of Equations

Inverse Trigonometric Functions

Two Dimensional Analytical Geometry-II

Applications of Vector Algebra

Applications of Differential Calculus

Differentials and Partial Derivatives

Applications of Integration

Ordinary Differential Equations

Probability Distributions

Discrete Mathematics

12th Standard Maths English Medium Chapters / Lessons 2024-2025

Applications of Matrices and Determinants

Complex Numbers

Theory of Equations

Inverse Trigonometric Functions

Two Dimensional Analytical Geometry-II

Applications of Vector Algebra

Applications of Differential Calculus

Differentials and Partial Derivatives

Applications of Integration

Ordinary Differential Equations

Probability Distributions

Discrete Mathematics

12th Standard Maths English Medium Chapters / Lessons 2024-2025 Syllabus

Application of Matrices and Determinants

Introduction - Inverse of a Non-Singular Square Matrix - Elementary Transformations of a Matrix - Applications of Matrices: Solving System of Linear Equations - Applications of Matrices: Consistency of system of linear equations by rank method

Complex Numbers

Introduction to Complex Numbers - Complex Numbers - Basic Algebraic Properties of Complex Numbers - Conjugate of a Complex Number - Modulus of a Complex Number - Geometry and Locus of Complex Numbers - Polar and Euler form of a Complex Number - de Moivre’s Theorem and its Applications

Theory of Equations

Introduction - Basics of Polynomial Equations - Vieta’s Formulae and Formation of Polynomial Equations - Nature of Roots and Nature of Coefficients of Polynomial Equations - Applications to Geometrical Problems - Roots of Higher Degree Polynomial Equations - Polynomials with Additional Information - Polynomial Equations with no additional information - Descartes Rule

Inverse Trigonometric Functions

Introduction - Some Fundamental Concepts - Sine Function and Inverse Sine Function - The Cosine Function and Inverse Cosine Function - The Tangent Function and the Inverse Tangent Function - The Cosecant Function and the Inverse Cosecant Function - The Secant Function and Inverse Secant Function - The Cotangent Function and the Inverse Cotangent Function - Principal Value of Inverse Trigonometric Functions - Properties of Inverse Trigonometric Functions

Two Dimensional Analytical Geometry-II

Introduction - Circle - Conics - Conic Sections - Parametric form of Conics - Tangents and Normals to Conics - Real life Applications of Conics

Applications of Vector Algebra

Introduction - Geometric Introduction to Vectors - Scalar Product and Vector Product - Scalar triple product - Vector triple product - Jacobi’s Identity and Lagrange’s Identity - Different forms of Equation of a Straight line - Different forms of Equation of a plane - Image of a point in a plane - Meeting point of a line and a plane