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Mathematics 11 Mathematics 11
UNIT I: Sets
UNIT II: Relations and Functions
- domain
- co-domain
- and range
- Definition
- composite functions
- inverse of a function
UNIT III: Trigonometric Functions
- Trigonometric ratios: Definition
- trigonometric identities
- trigonometric equations
- properties of triangles
- heights and distances
UNIT IV: Principle of Mathematical Induction
- Statement and verification of the principle
- applications
UNIT V: Complex Numbers and Quadratic Equations
- Definition
- algebraic operations
- modulus
- conjugate
- polar representation
- Quadratic equations
- relationships between roots and coefficients
UNIT VI: Linear Inequalities
- Linear inequalities and their solutions
- graphical representation on number line
UNIT VII: Permutations and Combinations
- Fundamental principle of counting
- permutations
- combinations
- binomial theorem (positive integral indices only)
UNIT VIII: Sequence and Series
- Definition
- nth term
- sum of first n terms
- Definition
- nth term
- sum of first n terms
- infinite GP
UNIT IX: Binomial Theorem
- Binomial theorem for positive integral indices
- general term
- middle term
- properties
UNIT X: Statistics and Probability
- Statistics: Measures of dispersion (mean deviation, variance, standard deviation)
- range
- mean
- median
- mode
- addition theorems of probability
- conditional probability
BETA
