Important Topics from NCERT Maths Textbooks for CBSE Class 12 board 2019 exams
Here we are providing important topics from each chapter for CBSE class XII Math board exam 2019. Most of these topics are taken from NCERT Textbooks (Part I & Part II). CBSE 2019 datesheet of Board Exams is already announced. We now know that board exams for XII shall begin from 15 February and, 18 March is the day for Math Exam.
This subject Math requires lots of practice but now very less days are left. So, now students need to focus on practice and revision, rather than studying any new topic(s).
Students preparing for CBSE Class XII Math exam are suggested to go through latest Math Sample Paper issued by the Board. This sample paper is recently released by the CBSE (in October, 2018). Doing latest sample paper issued by CBSE always helps in understanding pattren of the paper.
Complete details related to each chapter of NCERT Textbooks are listed below :
 Relations & Functions

 Types of Relations

 Reflexive, Symmetric and Transitive Relations

 Equivalence Relations and Equivalence Classes (Important)

 Functions

 Oneone and Onto functions

 Bijective function

 Inverse of a function (Important)

 Composite functions
 Binary operations (Important)
 Inverse Trigonometric Functions

 Range, domain and principal value branch (Important)

 Graphs of inverse trigonometric functions
 Elementary formulas of inverse trigonometric functions
 Matrices

 Understanding of notation, order, equality of matrix, types of matrix, zero and identity matrix etc.

 Transpose of matrix, symmetric and skew symmetric matrix, operation on matrices (Addition, subtraction, multiplication etc.)
 Inverse of matrix, elementary operations (Important)
 Determinants

 Determinants of a square matrix (upto order 3)

 Properties of determinants (Important)

 Adjoint and inverse of square matrix

 Solving system of linear equations using Matrices (Important)
 Application based problems
 Continuity and Differentiability

 Question based on continuity and differentiability (Important)

 Derivatives of composite functions, derivatives of inverse trigonometric function, derivatives of implicit functions

 Derivatives of logarithmic and exponential functions (Important)

 Derivatives of parametric functions (Important)

 Second order derivatives (Important)
 Rolle’s Theorem and MV Theorem
 Application Of Derivatives

 Rate of Change

 Increasing/Decreasing functions (Important)

 Tangents and Normals (Important)

 Approximate values
 Maxima and Minima (Important)
 Integrals

 Integration of different kind of functions by various method of integrations

 Definite integrals as a limit of a sum (Important)
 Properties of definite integrals
 Application Of Integrals
 Area under simple curves (eg. Lines, parabolas, circles, ellipse, sine/cosine curves)
 Differential Equations

 Order and degree of differential equations

 Formation of differential equations (Important)

 General and particular solutions of a differential equations

 Homogeneous differential equations – Proof & Solution (Important)
 Linear differential equation (Important)
 Vector Algebra

 Direction cosines and direction ratios of a vector (Important)

 Position vector of a point, Section formulae
 Scalar product, Vector product, Scalar triple product (Important)
 Three Dimensional Geometry

 Direction cosines and direction ratios of a line (Important)

 Cartesian and vector equation of a line

 Coplanar and skew lines

 Shortest distance between two lines (Important)

 Cartesian and vector equation of a plane (Important)

 Angle between (i) two lines (ii) two planes (iii) a line and a plane

 Distance of a point from (i) a line (ii) a plane
 Image/ Foot of perpendicular of a point in a (i) line (ii) plane
 Linear Programming Problem

 Formulation of LPP
 Graphical solution of LPP (for bounded and unbounded feasible region)
 Probability

 Conditional probability (Important)

 Multiplication theorem on probability, Independent events

 Total probability and Bayes’ theorem (Important)

 Random variable and probability distribution – its mean and variance (Important)
 Bernoulli trials and Binomial distribution (Important)
These are some important topics from complete syllabus for CBSE 2019 Math board exams of XII. All the Students of XII are advised to give priority to the topics mentioned above while preparing for the Math board exam.
A few quick links : Class 12  Time Management During Exams  CBSE Solved Papers  CBSE Sample Papers
With Best wishes!
Your Math Mentor,
O.P. Gupta