Chapter wise Exam Tips for CBSE Class 12 Maths

Chapter – 1 Relation and Functions

  • Types of Relations
  • Types of Functions
  • Composite Functions and Invertible Function
  • Binary Operations
  • Remember concepts of Quadratic Equation and Trigonometry


       Chapter – 2 Inverse Trigonometric Functions

  • Introduction to Inverse Trigonometry
  • Properties of trigonometric Functions
  • Trigonometric ratios and Equations are must to understand this chapter.


Chapter – 3 Matrices

  • Introduction to Matrices (Types of Matrices)
  • Operations on Matrices
  • Transpose of a Matrix
  • Invertible matrices
  • Elementary Operation of a Matrix


Chapter – 4 Determinants

  • Properties of Determinants
  • Minors and Cofactors
  • Adjoint and Inverse of a Matrix
  • Solution of System of Linear Equations using Inverse of a Matrix


Chapter – 5 Continuity and Differentiability

Start this chapter with a quick revision of Limits

  • Algebra of Continuous Functions
  • Differentiability
  • Differentiation using parametric substitution
  • Mean value theorems


Chapter – 6 Application of Derivatives

  • Rate of Change of Quantities and Approximations
  • Maxima and Minima
  • Increasing and Decreasing Functions
  • Tangents and Normal


Chapter – 7 Integrals

This Chapter contains two parts Indefinite Integrals and Definite Integrals.

Some Important topics are –

  • Integration using Partial Fraction, using Substitution, using By Parts
  • Properties of Definite Integrals
  • Definite Integrals as a Limit of Sum


Chapter – 8 Application of Integrals

  • The area of the region bounded by a curve and a line(Basic ides of Graph will help solving problem)
  • Area Between Two Curves

This chapter mainly uses formulas of indefinite Integrals                                       


Chapter – 9 Differential Equations

  • Order and Degree of Differential Equations – Small but logical topic, practice it thoroughly.
  • Formation of differential Equation – Remember general equations of all conics (Ellipse, Hyperbola, Circle).
  • Solution of Differential Equations – Remember all type of methods used for solving DE (Special focus on linear type).


Chapter – 10 Vector Algebra

  • Basic Concepts of Vectors, addition of vectors (remember basic concepts of Geometry)
  • Components of a vector, Projection of Vector
  • Scalar Product and Cross Product


Chapter – 11 Three Dimensional Geometry

  • Direction cosines and Direction ratio
  • Lines : Equation of lines in different forms, angles between lines, Distance between Skew kines.
  • Planes: Different forms of Planes, angle between two planes, angle between lines, Distance of a Point from a Plane, Family of Planes.


Chapter – 12 Linear Programming

  • Graphical Method of Solving Linear Programming Problems
  • Different Types of Linear Programming Problems


Chapter – 13 Probability

  • Conditional probability, Independent events
  • Baye’s Theorem
  • Mean and Variance of Random Variable
  • Binomial Distribution

(Revise Permutation and Combination)


Important Tips: 
• Read each question thoroughly before answering.
• Draw neat & clean diagrams wherever required.
• If you get stuck while solving any question, leave appropriate space and move to next question without wasting any time.
• Practice as many questions as possible for these topics.
• Never skip NCERT textbook and previous year papers.

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