Point to be Remembered
Chapter 1: Sets
- Introduction to sets
- Sets and their representations
- Empty set
- Finite and infinite sets
- Equal sets
- Subsets
- Universal set
- Venn diagram
- Operations on sets
- Complement of a set
Chapter 2: Relations and Functions
- Cartesian product of sets
- Relations
- Functions
- Domain, codomain, and range of a function
Chapter 3: Trigonometric Functions
- Angles and their measures
- Trigonometric functions
- Trigonometric identities
- Graphs of trigonometric functions
Chapter 4: Complex Numbers and Quadratic Equations
- Introduction to complex numbers
- Algebra of complex numbers
- Modulus and conjugate of a complex number
- Argand plane and polar representation
Chapter 5: Linear Inequalities
- Linear inequalities in one variable
- Graphical solution of linear inequalities in two variables
Chapter 6: Permutations and Combinations
- Fundamental principle of counting
- Permutations
- Combinations
Chapter 7: Binomial Theorem
- Binomial expansion
- Pascal’s triangle
- General and middle terms
Chapter 8: Sequence and Series
- Arithmetic progression
- Geometric progression
- Arithmetic mean
- Geometric mean
Chapter 9: Straight Lines
- Slope of a line
- Various forms of the equation of a line
- Distance of a point from a line
Chapter 10: Conic Sections
- Sections of a cone
- Circle
- Parabola
- Ellipse
- Hyperbola
Chapter 11: Introduction to Three-Dimensional Geometry
- Coordinate axes and planes in 3D
- Coordinates of a point
- Distance between two points
Chapter 12: Limits and Derivatives
- Limits
- Evaluation of limits
- Derivatives
- Derivatives of polynomials and trigonometric functions
Chapter 13: Statistics
- Measures of dispersion
- Range
- Mean deviation
- Variance and standard deviation
Chapter 14: Probability
- Sample space and events
- Types of events
- Probability calculations