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CBSE Class 12 Mathematics Board Exam 2018: Chapter wise important topics

Jan 25, 2018 18:49 IST
    CBSE Class 12 Mathematics Board Exam 2018: Chapter wise important concepts
    CBSE Class 12 Mathematics Board Exam 2018: Chapter wise important concepts

    Complete details about chapter wise important topics for CBSE Class 12 Maths board exam 2018 are available here. Students will find plenty of questions based on these concepts in Class 12 Maths NCERT textbooks. Questions based on these topics are expected in Class 12 Maths 2018 board exam.

    CBSE Date Sheet 2018 has already released. As per CBSE exam schedule, Class 12 board exam 2018 will start from 5th March and Maths board exam is scheduled to be held on 21st March. This subject demands practice and now very few days are left for the exams so students need to focus on practice and revision, rather than studying new topics (or chapters).

    Students preparing for CBSE Class 12 Maths board exam 2018 are suggested to go through latest Maths Sample Paper issued by the board. With the help of this Sample Paper students can easily understand the CBSE Class 12 Maths paper pattern (or blue print).

    List of important topics which can be asked in CBSE Class 12 Maths board exams 2018 are given below:

    1. Relations and Functions

    Types of relations:

    • Reflexive Symmetric
    • Transitive
    • Equivalence relations (Very important)

    One to one and onto functions

    Composite functions

    Inverse of a function

    Binary operations (Very important)

    NCERT Solutions for Class 12 Mathematics

    2. Inverse Trigonometric Functions

    Range, domain and principal value branch

    Graphs of inverse trigonometric functions (Very important)

    Elementary properties of inverse trigonometric functions (Very important)

    3. Matrices

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

    Types of matrices, zero and identity matrix

    Questions based on transpose of a matrix, symmetric and skew symmetric matrices, operation on matrices (i.e. Addition and multiplication and multiplication with a scalar)

    Invertible matrices and proof of the uniqueness of inverse, if it exists

    4. Determinants

    Determinant of a square matrix (up to 3 × 3 matrices)

    Properties of determinants (Very important)

    Adjoint and inverse of a square matrix

    Consistency, inconsistency and number of solutions of system of linear equations (very important)

    Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix (very important)

    NCERT Exemplar Class 12 Mathematics - All Chapters

    5. Continuity and Differentiability

    Questions based on continuity & differentiability  (very important)

    Students must know  how to differentiate:

    • Composite functions
    • Inverse trigonometric functions
    • Implicit functions
    • Concept of exponential & logarithmic functions

    Derivative of functions expressed in parametric forms

    Second order derivatives

     Questions based on Rolle's and Lagrange's Mean Value Theorems (very important)

    6. Application of Derivatives

    Rate of change of bodies

    Increasing/decreasing functions (very important)

    Tangents and normals (very important)

    Use of derivatives in approximation

    Maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool) very important

    Simple problems that illustrate basic principles and understanding of the subject as well as real-life situations

    7. Integrals

    Integration of a variety of functions

    • by substitution
    • by partial fractions
    • by parts

    Evaluation of simple integrals of the following types and problems based on them

    Definite integrals as a limit of a sum

    Fundamental Theorem of Calculus (without proof)

    Basic properties of definite integrals and evaluation of definite integrals

    8. Application of Integrals

    Applications in finding the area under simple curves (very important)

    Especially lines, circles/parabolas/ellipses (in standard form only)

    Area between any of the two above said curves (the region should be clearly identifiable)

    9. Differential Equations

    Order and degree (very important)

    General and particular solutions of a differential equation (very important)

    Formation of differential equation whose general solution is given (very important)

    Solution of differential equations by method of separation of variables solutions of homogeneous differential equations of first order and first degree (very important)

    Solutions of linear differential equation of the type: (very important)

    • (dy/dx) + py = q, where p and q are functions of x or constants
    • (dx/dy) + px = q, where p and q are functions of y or constants

    10. Vector Algebra

    Vectors and scalars (magnitude and direction of a vector)

    Direction cosines and direction ratios of a vector (very important)

    Position vector of a point dividing a line segment in a given ratio (very important)

    Properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors (very important)

    11: Three Dimensional Geometry

    Direction cosines and direction ratios of a line joining two points

    Cartesian equation and vector equation of a line

    Coplanar and skew lines

    Shortest distance between two lines

    Cartesian & vector equation of a plane

    Angle between

    • two lines
    • two planes
    • a line and a plane

    Distance of a point from a plane

    12. Linear Programming

    Mathematical formulation of L.P. problems (very important)

    Graphical method of solution for problems in two variables, feasible and infeasible regions (bounded and unbounded)

    13. Probability

    Conditional probability (very important)

    Multiplication theorem on probability (very important)

    Independent events (very important)

    Baye's theorem (very important)

    Random variable & its probability distribution (very important)

    Mean and variance of random variable (very important)

    Repeated independent (Bernoulli) trials and Binomial distribution (very important)

    These are some important topics from complete CBSE Class 12th Maths Syllabus 2018. Questions from these topics are likely to be asked in the coming paper. Students should give priority to the topics mentioned above while preparing for CBSE Class 12th Maths board exam 2018.

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