Class 11 Mathematics – Summary Notes (NCERT Based, Original Content)
Chapter 1: Sets
- A set is a well-defined collection of objects.
- Types: Finite, Infinite, Equal, Subset, Power set, Universal set.
- Operations: Union, Intersection, Difference, Complement.
- Venn diagrams used to visualize relationships.
Chapter 2: Relations & Functions
- Relation: A subset of A × B.
- Function: A special relation where every input has exactly one output.
- Types: One-one, Many-one, Onto, Into.
- Real functions and their domains/ranges.
Chapter 3: Trigonometric Functions
- Angle measurement: Degrees, Radians.
- Important identities: sin²x + cos²x = 1, 1 + tan²x = sec²x, 1 + cot²x = cosec²x.
- Values of trigonometric functions in different quadrants.
Chapter 5: Complex Numbers
- Complex number: z = a + ib.
- i² = –1.
- Modulus: |z| = √(a² + b²).
- Conjugate: a – ib.
- Argand plane representation.
- Algebraic operations on complex numbers.
Chapter 6: Linear Inequalities
- Basic inequalities and their solutions.
- Graphical solution on number line.
- Linear inequalities in two variables represent half-planes.
Chapter 1: Sets
- A set is a well-defined collection of objects.
- Types: Finite, Infinite, Equal, Subset, Power set, Universal set.
- Operations: Union, Intersection, Difference, Complement.
- Venn diagrams used to visualize relationships.
Chapter 2: Relations & Functions
- Relation: A subset of A × B.
- Function: A special relation where every input has exactly one output.
- Types: One-one, Many-one, Onto, Into.
- Real functions and their domains/ranges.
Chapter 3: Trigonometric Functions
- Angle measurement: Degrees, Radians.
- Important identities: sin²x + cos²x = 1, 1 + tan²x = sec²x, 1 + cot²x = cosec²x.
- Values of trigonometric functions in different quadrants.
Chapter 5: Complex Numbers
- Complex number: z = a + ib.
- i² = –1.
- Modulus: |z| = √(a² + b²).
- Conjugate: a – ib.
- Argand plane representation.
- Algebraic operations on complex numbers.
Chapter 6: Linear Inequalities
- Basic inequalities and their solutions.
- Graphical solution on number line.
- Linear inequalities in two variables represent half-planes.
