Important Topics and Tips to score better marks in class 12 Maths Exam

The class 12 board exams is a big event for students according to their career perspective. The previous year papers that are provided set different trend in skill, application test and concept. It’s not only a test of basic knowledge but an assessment of their planning, practice and confidence. Sincere efforts performed throughout the past years are on stake during these three hours. One should have a highly positive mindset and confident approach for scoring good percentage. Don’t forget CBSE is an assessment of basic knowledge, not a competitive examination to select few talented students.

Regular studies and completing your CBSE Class 12 Maths Syllabus on time wins you half the game. Complete your projects, assignments and practicals on the day they are assigned and get them out of your way. Start with easier chapters and gradually proceed to topics that you find more difficult. With basics brushed up, you will find that even the most difficult topics will melt down to simpler easier concepts.

Important Topics to focus in class 12 Maths Exam Chapterwise

Chapter Name

Important Topics and Tips

Relations and Functions

  • Types of Relations
  • Composite of two functions
  • Invertible Functions
  • Frequently asked question are from ‘Equivalence relations’ and composite of functions

Inverse Trigonometric Functions

  • Properties of Inverse Trigonometric functions
  • Write down domain and range of all trigonometric function and related graphs on paper and revise them on daily basis

Matrices

  • Multiplication of Matrices
  • Symmetric and Skew Symmetric Properties
  • Finding Inverse of a Matrix using elementary transformation
  • Most of the students get stuck in elementary transformation

Determinants

  • Properties of determinants
  • Adjoint and Inverse of a Matrix
  • Solution of system of linear equations
  • Always mark the question while you get stuck, because all questions cannot be practised before exams

Continuity and Differentiability

  • Continuity of a function
  • Logarithmic Differentiation
  • Second order derivatives
  • Differentiation of Parametric form of functions
  • Logarithmic, trigonometric functions, exponential should be at tip

Application of Derivatives

  • Rate of change
  • Increasing and decreasing functions
  • Tangents and Normal to Curves
  • First and Second Derivatives Test for finding Local Maxima and Minima

Integrals

  • Integration by method of Substitution
  • Integration by Method of Partial Fractions
  • Integration by Parts
  • Definite Integral as Limit of a sum
  • Properties of Definite Integrals

Application of Integrals

  • Area under curves
  • Area bounded by a curve and a line
  • Area bounded by 2 Curves
  • It always better to draw the curve and shade the area to be calculated

Differential Equations

  • Formation of differential equation
  • Method of Solving Differential Equation with variable separable
  • Homogeneous Differential Equation
  • Linear differential equation

Vector Algebra

  • Scalar Product of Vectors and Projection of Vectors on a line
  • Vector Product of Vectors

3-D Geometry

  • Direction Cosines and Direction Ratio of line
  • Equation of line
  • Coplanarity of line
  • Angle between 2 lines
  • Shortest distance between 2 skew lines
  • Equation of plane in normal form
  • Equation of plane perpendicular to given vector and passing through a given point
  • Equation of plane passing through 3 non-collinear points
  • Plane passing through the intersection of two planes
  • Angle between 2 planes
  • Distance of a point from a plane
  • Angle between a line and a plane

Linear Programming

  • Graphical Solution to linear problems

Probability

  • Multiplication Theorem of Probability
  • Independent Events
  • Bayes’ Theorem
  • Random Variable and its probability distribution
  • Mean and Variance of Random Variable
  • Binomial Distribution
  • Try to revise the concepts of permutation and combination before getting into the chapter

Practise This Question

x + 5(x  2)2dx