Scoring well in the Class 12th Maths Exam is crucial, but it requires dedication and consistent effort. Understanding topics thoroughly and practising various problem types is key to achieving a perfect score. Completing the syllabus on time is half the battle won.
Students should study regularly, revising daily and solving problems from each chapter. Starting with easier questions and gradually tackling tougher ones helps build confidence. The real test comes in the three-hour board exam, so staying positive and confident is vital. Here are some important topics and tips to excel in the Class 12th Maths Exam.Class 12th Maths Chapter-wise Important Topics | |
Chapter Name | Important Topics |
Relations and Functions | Understanding types of relations, Invertible functions, Composite functions |
Inverse Trigonometric Functions | Properties of inverse trigonometric functions |
Matrices | Matrix multiplication, Properties of Symmetric and Skew Symmetric matrices, Finding matrix inverses |
Determinants | Properties of determinants, Matrix inverse and adjoint, Solutions to systems of linear equations |
Continuity and Differentiability | Continuity, Second-order derivatives, Logarithmic differentiation, Parametric form of functions |
Application of Derivatives | Rate of change, Tangents and normals to curves, Identifying increasing and decreasing functions, Local maxima and minima using tests |
Integrals | Integration methods, Substitution, Partial fractions, Integration by parts, Properties of definite integrals, Definite integral as the limit of a sum |
Application of Integrals | Area under curves, Area bounded by curves, Area bounded by a curve and a line |
Differential Equations | Forming differential equations, Solving linear differential equations, Separable methods, Homogeneous differential equations |
Vector Algebra | Scalar product, Projection of vectors, Vector product |
3-D Geometry | Direction cosines, Direction ratios of a line, Equations of lines and planes, Angles and distances in 3D space |
Linear Programming | Graphical solution to linear programming problems |
Probability | Multiplication theorem, Independent events, Bayes' theorem, Binomial distribution, Random variables and their probability distributions, Mean and variance of random variables |
CBSE Class 12th Maths: Exam Pattern | ||
No. | Units | Marks |
1 | Relations and Functions | 08 |
2 | Algebra | 10 |
3 | Calculus | 35 |
4 | Vectors and Three–Dimensional Geometry | 14 |
5 | Linear Programming | 05 |
6 | Probability | 08 |
Total Theory | 80 | |
Internal Assessment | 20 | |
Grand Total | 100 |
Also Read: Maths MCQs for CBSE Class 11th and 12th 2024