JEE Mathematics Practice Tests: CUET PreparationChapter 1 - Relations and Functions- Introduction to relations and functions
- Types of relations: reflexive, symmetric, transitive
- Types of functions: one-to-one, onto, composite
- Composition of functions
- Inverse of a function
- Binary operations and their properties
Chapter 2 - Inverse Trigonometric Functions- Definition and properties of inverse trigonometric functions
- Graphs of inverse trigonometric functions
- Trigonometric equations and their solutions
- Trigonometric identities involving inverse trigonometric functions
Chapter 3 - Matrices- Introduction to matrices
- Types of matrices: square, symmetric, skew-symmetric
- Matrix operations: addition, subtraction, multiplication
- Determinants of matrices
Chapter 4 - Determinants- Properties of determinants
- Cramer's rule
- Adjoint and inverse of a matrix
- Applications of determinants in solving linear equations
Chapter 5 - Continuity and Differentiability- Continuity of a function
- Differentiability of a function
- Derivative as a rate of change
- Differentiation rules: chain rule, product rule, quotient rule
Chapter 6 - Application of Derivatives- Tangents and normals
- Maxima and minima
- Rate of change and approximation
- Increasing and decreasing functions
Chapter 7 - Integrals- Indefinite integrals and their properties
- Methods of integration: substitution, integration by parts
- Definite integrals and their properties
- Area under a curve
Chapter 8 - Application of Integrals- Area between two curves
- Volume of solids of revolution
- Length of curves
- Differential equations and their applications
Chapter 9 - Differential Equations- Types of differential equations: first order, second order
- Solutions of differential equations
- Applications of differential equations in growth and decay problems
Chapter 10 - Vectors- Introduction to vectors
- Vector operations: addition, subtraction, scalar multiplication
- Dot product and cross product
- Vector equations of lines and planes
Chapter 11 - Three Dimensional Geometry- Coordinate systems in three dimensions
- Direction ratios and direction cosines
- Equations of lines and planes in three dimensions
- Distance between points and lines
Chapter 12 - Linear Programming- Introduction to linear programming
- Formulation of linear programming problems
- Graphical method for solving linear programming problems
- Simplex method for solving linear programming problems
Chapter 13 - Probability- Fundamentals of probability
- Conditional probability and independence
- Random variables and probability distributions
- Binomial and Poisson distributions
JEE Mock Test Series- Practice tests for JEE Mathematics
- Realistic exam simulations
- Detailed solutions and explanations
- Performance analysis and feedback
This course is helpful for the following exams: Class 11, Class 12, Commerce, JEE, CUET, CUET Science, CUET Commerce