📐 Class 11 Mathematics

Complete chapter-wise notes following NCERT mathematics curriculum with formulas and solved examples

Chapter 1: Sets

Concept of sets, representations, operations, and Venn diagrams.

Key Topics:

  • Sets and their Representations
  • Types of Sets (Empty, Finite, Infinite)
  • Subsets and Power Set
  • Operations on Sets and Venn Diagrams
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Chapter 2: Relations and Functions

Cartesian product, domain, range, and types of functions.

Key Topics:

  • Cartesian Product of Sets
  • Relations
  • Functions
  • Domain and Range
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Chapter 3: Trigonometric Functions

Angles, trigonometric functions, and their identities.

Key Topics:

  • Angles (Radian and Degree Measure)
  • Trigonometric Functions
  • Trigonometric Identities
  • Trigonometric Equations
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Chapter 4: Complex Numbers and Quadratic Equations

Imaginary numbers, Argand plane, and solving quadratic equations.

Key Topics:

  • Complex Numbers (a+ib)
  • Algebra of Complex Numbers
  • Argand Plane and Polar Representation
  • Quadratic Equations
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Chapter 5: Linear Inequalities

Solving inequalities in one and two variables graphically.

Key Topics:

  • Inequalities
  • Algebraic Solutions of Linear Inequalities
  • Graphical Solution in Two Variables
  • System of Linear Inequalities
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Chapter 6: Permutations and Combinations

Fundamental principle of counting, factorials, nPr, and nCr.

Key Topics:

  • Fundamental Principle of Counting
  • Permutations (nPr)
  • Combinations (nCr)
  • Applications
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Chapter 7: Binomial Theorem

Expansion of binomials for positive integral indices and Pascal's triangle.

Key Topics:

  • Binomial Theorem for Positive Integral Indices
  • Pascal's Triangle
  • General and Middle Terms
  • Applications
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Chapter 8: Sequences and Series

A.P., G.P., arithmetic mean, and geometric mean.

Key Topics:

  • Sequences and Series
  • Arithmetic Progression (A.P.)
  • Geometric Progression (G.P.)
  • Relationship between A.M. and G.M.
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Chapter 9: Straight Lines

Slope of a line, various forms of equations, and distance of a point from a line.

Key Topics:

  • Slope of a Line
  • Various Forms of Equation of a Line
  • General Equation of a Line
  • Distance of a Point from a Line
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Chapter 10: Conic Sections

Circles, parabolas, ellipses, and hyperbolas.

Key Topics:

  • Sections of a Cone
  • Circle
  • Parabola
  • Ellipse and Hyperbola
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Chapter 11: Introduction to Three Dimensional Geometry

Coordinates in 3D space, distance, and section formulas.

Key Topics:

  • Coordinate Axes and Planes in 3D Space
  • Coordinates of a Point in Space
  • Distance Formula
  • Section Formula
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Chapter 12: Limits and Derivatives

Intuitive idea of limits, algebra of limits, and first principle of derivative.

Key Topics:

  • Intuitive Idea of Derivatives
  • Limits
  • Algebra of Limits
  • Derivatives (First Principle)
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Chapter 13: Statistics

Measures of dispersion, mean deviation, and standard deviation.

Key Topics:

  • Measures of Dispersion
  • Range and Mean Deviation
  • Variance
  • Standard Deviation
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Chapter 14: Probability

Random experiments, sample space, and axiomatic approach to probability.

Key Topics:

  • Random Experiments and Sample Space
  • Events
  • Axiomatic Approach to Probability
  • Addition Theorem
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