Mathematics is a scoring subject for CBSE class 12 students where you can even score 100 out of 100. However, it is possible only when you clearly understand the topics and practice them before the exam. Additionally, students must have a strong grip on the basics of this subject to solve the difficult questions. Since CBSE Class 12 Mathematics has more weightage, it is also important for engineering entrance exams like IIT JEE. You need to revise the important concepts and formulas regularly. It ensures their application for solving the most difficult questions in these exams.
We advise studying the NCERT 12 Mathematics textbook thoroughly before moving to any other study material. You should dedicate at least 1 hour daily from your study schedule to solving NCERT textbook problems. When preparing for IIT-JEE, try to solve as many questions from various study materials and take mock tests. Infinity Learn provides mock tests that will help you prepare for competitive exams like IIT-JEE. Keep a positive mindset and approach during preparation, and excel at this subject.
All the topics are important when preparing for IIT-JEE or CBSE Exam. However, below are some crucial topics that require more emphasis.
Chapter 1 – Relations and Functions
Important Topics:
1. Types of Relations
2. Composition of Two Functions
3. Invertible Functions
Chapter 2 – Inverse Trigonometric Functions
Important Topics:
1. Properties of Inverse Trigonometric Functions
Important Topics:
1. Multiplication of Matrices and Related Properties
2. Symmetric and Skew Symmetric Matrices
3. Using Elementary Transformations to find Inverse of a Matrix
Important Topics:
1. Properties of Determinants
2. Adjoint and Inverse of a Matrix
3. Solution of System of Linear Equations
Also read: How to prepare for Class XII Board Mathematics Exam 2022?
Chapter 5 – Continuity and Differentiability
Important Topics:
1. Continuity of a Function
2. Logarithmic Differentiation
3. Differentiation of Functions in Parametric Form
4. Second Order Derivatives
Chapter 6 – Application of Derivatives
Important Topics:
1. Rate of Change of Quantities
2. Increasing and Decreasing Functions
3. Tangents and Normals to Curves
4. Finding Points of Local Maxima and Minima using First and Second Derivative Tests
Important Topics:
1. Integration by Method of Substitution
2. Integration by Method of Partial Fractions
3. Integration by Parts
4. Definite Integral (as Limit of a Sum)
5. Properties of Definite Integrals
Chapter 8 – Application of Integrals
Important Topics:
1. Area under Simple Curves
2. Area Bounded by a Curve and Line
3. Area Bounded by Two Curves
Chapter 9 – Differential Equations
Important Topics:
1. Formation of Differential Equations
2. Method of Solving Differential Equations using Variable Separable
3. Homogeneous Differential Equations
4. Linear Differential Equations
Important Topics:
1. Scalar Product of Vectors
2. Projection of Vector on a Line
3. Vector Product of Vectors
Chapter 11 – Three-Dimensional Geometry
Important Topics:
1. Direction Cosines & Direction Ratios of Line
2. Equation of a Line
3. Coplanarity of Lines
4. Angle between Two Lines
5. Shortest Distance between Two Skew Lines
6. Equation for a Plane
7. Equation for a Plane Perpendicular to Given Vector & Passing through a Given Point
8. Equation for a Plane Passing through Three Non-collinear Points
9. Equation for a Plane Passing through the Intersection of Two Planes
10. Angle between Two Planes
11. Distance of a Point from a Plane
12. Angle between a Line and Plane
Chapter 12 – Linear Programming
Important Topics:
1. Graphical Solution of Linear Programming Problems
Important Topics:
1. Multiplication Theorem on Probability
2. Independent Events
3. Bayes’ Theorem
4. Random Variable and Its Probability Distribution
5. Mean and Variance of Random Variable
6. Binomial Distribution
