Class XII Maths — Board Mastery Pathway

About Course

A complete Class XII maths course covering calculus, algebra, vectors, 3D geometry and probability, taught concept-first with weekly graded practice and monthly board-pattern tests.

Format: small live group (maximum 8 students) or one-to-one.
Fee: ₹5,000 per month (group, 2 live sessions a week) · ₹1,200 per 60-minute one-to-one session. Fees exclude GST.

The first 30-minute class is free.

Course Content

Start Here — How This Pathway Works
What the course covers, how classes run, and how the Class XII board exam is marked.

Welcome and how the pathway works
How the board exam is marked
Starting check — 10 questions

Chapter 1 — Relations and Functions
Types of relations, equivalence relations, one-one and onto functions.

Chapter 2 — Inverse Trigonometric Functions
Principal value branches, domain and range, graphs.

Chapter 3 — Matrices
Types of matrices, operations, transpose, symmetric and skew-symmetric matrices, invertible matrices.

Chapter 4 — Determinants
Determinants, area of a triangle, adjoint and inverse, solving linear equations by the matrix method.

Chapter 5 — Continuity and Differentiability
Continuity, chain rule, implicit, inverse trig, exponential and log differentiation, second derivatives.

Chapter 6 — Application of Derivatives
Rate of change, increasing and decreasing functions, maxima and minima.

Chapter 7 — Integrals
Indefinite integrals, substitution, partial fractions, integration by parts, definite integrals and their properties.

Chapter 8 — Application of Integrals
Area under simple curves, lines, circles, parabolas and ellipses.

Chapter 9 — Differential Equations
Order and degree, general and particular solutions, variables separable, homogeneous and linear equations.

Chapter 10 — Vector Algebra
Vectors, components, section formula, dot product and cross product.

Chapter 11 — Three Dimensional Geometry
Direction cosines and ratios, equations of a line, angle between lines, shortest distance between skew lines.

Chapter 12 — Linear Programming
Constraints, objective function, feasible region and the graphical method.

Chapter 13 — Probability
Conditional probability, multiplication theorem, independent events, total probability and Bayes’ theorem.

Board Readiness
Full-length practice, revision plan and exam-day strategy.

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About Course

Course Content

Start Here — How This Pathway Works What the course covers, how classes run, and how the Class XII board exam is marked.

Welcome and how the pathway works

How the board exam is marked

Starting check — 10 questions

Chapter 1 — Relations and Functions Types of relations, equivalence relations, one-one and onto functions.

1.1 Types of relations

1.2 One-one and onto functions

Practice Set 1 — Relations and Functions

Chapter 1 Quiz — Relations and Functions

Chapter 2 — Inverse Trigonometric Functions Principal value branches, domain and range, graphs.

2.1 Principal values, domain and range

2.2 Evaluating expressions

Practice Set 2 — Inverse Trigonometric Functions

Chapter 2 Quiz — Inverse Trigonometric Functions

Chapter 3 — Matrices Types of matrices, operations, transpose, symmetric and skew-symmetric matrices, invertible matrices.

3.1 Types of matrices and operations

3.2 Transpose, symmetric and skew-symmetric

Practice Set 3 — Matrices

Chapter 3 Quiz — Matrices

Chapter 4 — Determinants Determinants, area of a triangle, adjoint and inverse, solving linear equations by the matrix method.

4.1 Determinants, minors and cofactors

4.2 Adjoint, inverse and the matrix method

Practice Set 4 — Determinants

Chapter 4 Quiz — Determinants

Chapter 5 — Continuity and Differentiability Continuity, chain rule, implicit, inverse trig, exponential and log differentiation, second derivatives.

5.1 Continuity

5.2 Differentiation techniques

Practice Set 5 — Continuity and Differentiability

Chapter 5 Quiz — Continuity and Differentiability

Chapter 6 — Application of Derivatives Rate of change, increasing and decreasing functions, maxima and minima.

6.1 Rate of change and increasing/decreasing functions

6.2 Maxima and minima

Practice Set 6 — Application of Derivatives

Chapter 6 Quiz — Application of Derivatives

Chapter 7 — Integrals Indefinite integrals, substitution, partial fractions, integration by parts, definite integrals and their properties.

7.1 Indefinite integrals and substitution

7.2 Integration by parts and partial fractions

7.3 Definite integrals and properties

Practice Set 7 — Integrals

Chapter 7 Quiz — Integrals

Chapter 8 — Application of Integrals Area under simple curves, lines, circles, parabolas and ellipses.

8.1 Area under a curve

8.2 Area of standard regions

Practice Set 8 — Application of Integrals

Chapter 8 Quiz — Application of Integrals

Chapter 9 — Differential Equations Order and degree, general and particular solutions, variables separable, homogeneous and linear equations.

9.1 Order, degree and variables separable

9.2 Homogeneous and linear equations

Practice Set 9 — Differential Equations

Chapter 9 Quiz — Differential Equations

Chapter 10 — Vector Algebra Vectors, components, section formula, dot product and cross product.

10.1 Vectors, components and section formula

10.2 Dot and cross product

Practice Set 10 — Vector Algebra

Chapter 10 Quiz — Vector Algebra

Chapter 11 — Three Dimensional Geometry Direction cosines and ratios, equations of a line, angle between lines, shortest distance between skew lines.

11.1 Direction cosines and equation of a line

11.2 Angle between lines and shortest distance

Practice Set 11 — Three Dimensional Geometry

Chapter 11 Quiz — Three Dimensional Geometry

Chapter 12 — Linear Programming Constraints, objective function, feasible region and the graphical method.

12.1 Formulating an LPP

12.2 Graphical method (corner point method)

Practice Set 12 — Linear Programming

Chapter 12 Quiz — Linear Programming

Chapter 13 — Probability Conditional probability, multiplication theorem, independent events, total probability and Bayes’ theorem.

13.1 Conditional probability and independent events

13.2 Total probability and Bayes’ theorem

Practice Set 13 — Probability

Chapter 13 Quiz — Probability

Board Readiness Full-length practice, revision plan and exam-day strategy.

Revision plan — last 8 weeks

Full-length board-pattern paper and exam-day strategy