Chapters

All 13 chapters of the CBSE Class XII Mathematics syllabus, with their topics, formulas, key points and the mistakes that cost marks.

Relations and Functions

2 chapters

Chapter 1

Relations and Functions

Types of relations and the conditions under which a function is one-one or onto.

  • 26 questions
  • 2 topics
  • I

Algebra

2 chapters

Chapter 3

Matrices

Order, types, operations, transpose, symmetric and skew-symmetric matrices, and invertibility.

  • 24 questions
  • 4 topics
  • II
Chapter 4

Determinants

Determinants up to order three, minors and cofactors, adjoint and inverse, area of a triangle, and solving linear systems.

  • 24 questions
  • 5 topics
  • II

Calculus

5 chapters

Chapter 5

Continuity and Differentiability

Continuity, differentiability, the chain rule, implicit and parametric differentiation, logarithmic differentiation and second-order derivatives.

  • 24 questions
  • 7 topics
  • III
Chapter 6

Application of Derivatives

Rate of change, increasing and decreasing functions, and maxima and minima.

  • 23 questions
  • 3 topics
  • III
Chapter 7

Integrals

Integration as the inverse of differentiation, the standard methods, definite integrals and their properties.

  • 24 questions
  • 7 topics
  • III
Chapter 8

Application of Integrals

Area under simple curves, and areas bounded by lines, circles, parabolas and ellipses in standard form.

  • 20 questions
  • 2 topics
  • III
Chapter 9

Differential Equations

Order and degree, general and particular solutions, variable separable, homogeneous and linear differential equations.

  • 23 questions
  • 5 topics
  • III

Vectors and Three-Dimensional Geometry

2 chapters

Chapter 10

Vector Algebra

Vectors and scalars, direction cosines and ratios, types of vectors, addition, section formula, and the scalar and vector products.

  • 23 questions
  • 5 topics
  • IV
Chapter 11

Three Dimensional Geometry

Direction cosines and ratios of a line, equations of a line in vector and Cartesian form, the angle between two lines, and skew lines with the…

  • 20 questions
  • 4 topics
  • IV

Linear Programming

1 chapter

Chapter 12

Linear Programming

Terminology, mathematical formulation, graphical solution, feasible regions and optimal solutions.

  • 20 questions
  • 4 topics
  • V

Probability

1 chapter

Chapter 13

Probability

Conditional probability, the multiplication theorem, independent events, total probability and Bayes' theorem.

  • 23 questions
  • 5 topics
  • VI

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