Point to be Remembered
- 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
- Cartesian product of sets
- Relations
- Functions
- Domain, codomain, and range of a function
- Angles and their measures
- Trigonometric functions
- Trigonometric identities
- Graphs of trigonometric functions
- Introduction to complex numbers
- Algebra of complex numbers
- Modulus and conjugate of a complex number
- Argand plane and polar representation
- Linear inequalities in one variable
- Graphical solution of linear inequalities in two variables
- Fundamental principle of counting
- Permutations
- Combinations
- Binomial expansion
- Pascal’s triangle
- General and middle terms
- Arithmetic progression
- Geometric progression
- Arithmetic mean
- Geometric mean
- Slope of a line
- Various forms of the equation of a line
- Distance of a point from a line
- Sections of a cone
- Circle
- Parabola
- Ellipse
- Hyperbola
- Coordinate axes and planes in 3D
- Coordinates of a point
- Distance between two points
- Limits
- Evaluation of limits
- Derivatives
- Derivatives of polynomials and trigonometric functions
- Measures of dispersion
- Range
- Mean deviation
- Variance and standard deviation
- Sample space and events
- Types of events
- Probability calculations