Features

• Comprehensive revision of the entire NCERT Class XII Mathematics syllabus within a limited time frame.
• Focus on important concepts, formulae, and problem-solving techniques with high weightage in CBSE exams.
• Regular assignments, practice sheets, and question banks covering previous years’ board exam papers.
• Weekly mock tests and chapter-wise tests to build speed and accuracy under exam conditions.
• Doubt-solving sessions with faculty members for personalized guidance.
• Smart tips and tricks to manage time and attempt questions effectively in the exam.
• Crash course notes, important formula sheets, and revision charts for quick preparation.
• Dedicated mentoring to boost confidence and reduce exam stress.

Syllabus (As per NCERT – CBSE Class XII Mathematics)

1. Relations and Functions

Types of relations, types of functions, composition of functions, invertible functions, binary operations.

2. Inverse Trigonometric Functions

Domain, range, principal value branches, graphs, and simple properties.

3. Matrices and Determinants

Types of matrices, operations, properties, transpose, symmetric and skew-symmetric matrices, minors, cofactors, adjoint, inverse of a matrix, applications in solving system of equations.

4. Continuity and Differentiability

Continuity, differentiability, derivatives of composite and implicit functions, logarithmic differentiation, derivatives of inverse trigonometric functions, second-order derivatives, mean value theorem.

5. Applications of Derivatives

Tangents, normals, monotonicity, maxima and minima, and problems related to real-life situations.

6. Integrals

Integration as inverse of differentiation, methods of integration, definite integrals and their properties, evaluation of definite integrals.

7. Applications of Integrals

Finding areas bounded by curves and lines.

8. Differential Equations

Order and degree, formation, general and particular solutions, methods of solving first-order first-degree differential equations.

9. Vector Algebra

Vectors, scalar and vector products, properties, and applications.

10. Three-Dimensional Geometry

Direction cosines and ratios, equation of a line and a plane, distance between two points, angle between two lines/planes.

11. Linear Programming

Formulation of linear programming problems, graphical method of solution, feasible and infeasible regions, optimization problems.

12. Probability

Conditional probability, independent events, Bayes’ theorem, probability distribution of a random variable, mean and variance.

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