# CBSE Grade 11 Mathematics

### Sets

1

Sets and Their Representations

2

Empty Set

3

Finite and Infinite Sets

4

Equal Sets

5

Subsets

6

Subsets of a Set of Real Numbers Especially Intervals

7

Power Set

8

Universal Set

9

Venn Diagrams

10

Union and Intersection of Sets

### Relations & Functions

1

Ordered Pairs

2

Cartesian Product of Sets

3

Number of Elements in the Cartesian Product of Two Finite Sets

4

Cartesian Product of the Set of Reals with Itself

5

Definition of Relation

6

Pictorial Diagrams

7

Domain, Co-Domain and Range of a Relation

8

Function as a Special Type of Relation

9

Pictorial Representation of a Function, Domain, Co-Domain and Range of a Function.

10

Real Valued Functions

### Trigonometric Functions

1

Positive and Negative Angles

2

Measuring Angles in Radians and Conversion From one Measure to Another

3

Definition of Trigonometric Functions with the Help of Unit Circle

4

Truth of the Identity sin2x + cos2x = 1, for all x

5

Signs of Trigonometric Functions

6

Domain and Range of Trigonometric Functions and their Graphs

7

Expressing sin (x±y) and cos (x±y) in Terms of sinx, siny, cosx & cosy and Their Simple Applications

8

Deducing Identities

9

General Solution of Trigonometric Equations

### Principle of Mathematical Induction

1

Process of the Proof by Induction

2

Application of the Method

3

The Principle of Mathematical Induction and Simple Applications

### Complex Numbers and Quadratic Equations

1

Need for Complex Numbers

2

Algebraic Properties of Complex Numbers

3

Argand Plane Polar Representation

4

Statement of Fundamental Theorem of Algebra

5

Solution of Quadratic Equations

6

Square Root of a Complex Number.

### Linear Inequalities

1

Linear Inequalities

2

Algebraic Solutions of Linear Inequalities

3

Graphical Solution of Linear Inequalities in two Variables

4

Graphical Method of Finding Solution of System of Linear Inequalities

### Permutations and Combinations

1

Fundamental Principle of Counting

2

Factorial n

3

Permutations and Combinations

4

Derivation of Formulae form nPr and nCr and their Connections

5

Simple Applications

### Binomial Theorem

1

Historical Perspective

2

Binomial Theorem

3

Pascal’s Triangle

4

General and Middle Term in Binomial Expansion

5

Simple Applications

### Sequence and Series

1

Sequence and Series

2

Arithmetic Progression

3

Arithmetic Mean

4

Geometric Progression

5

General Term of a G.P., Sum of n Terms of a G.P.

6

Infinite G.P. and its Sum

7

Geometric Mean (G.M.)

8

Relation Between A.M. and G.M

9

Formulae for Special Sums

### Straight Lines

1

Two Dimensional Geometry

2

Slope of a Line and Angle Between Two Lines

3

Various Forms of Equations of a Line

4

General Equation of a Line

5

Equation Lines passing Through the Point of Intersection of two Lines

6

Distance of a Point From a Line

### Conic Sections

1

Sections of a Cone : Circles

2

Ellipse

3

Parabola

4

Hyperbola

5

A Point, a Straight line and a Pair of Intersecting Lines

6

Standard Equations of Parabola, Ellipse and Hyperbola

7

Standard Equation of a Circle

### Introduction to Three-dimensional Geometry

1

Coordinate Axes and Coordinate Planes in 3D

2

Coordinates of a Point

3

Distance Between two Points and Section Formula

### Limits and Derivatives

1

Derivative Introduced as Rate of Change

2

Intuitive Idea of Limit

3

Limits of Polynomials and Rational Functions

4

Definition of Derivative Relate it to Scope of Tangent of the Curve

5

Derivative of Sum, Difference, Product and Quotient of Functions

6

Derivatives of Polynomial and Trigonometric Functions

### Mathematical Reasoning

1

Mathematically Acceptable Statements

2

Connecting Words/ Phrases

3

Variety of Examples Related to Real Life and Mathematics

4

Validating the Statements Involving the Connecting Words

5

Difference Among Contradiction, Converse and Contrapositive

### Statistics

1

Measures of Dispersion: Range

2

Mean Deviation, Variance

3

Standard Deviation of Ungrouped/Grouped Data

4

Analysis of Frequency Distributions

### Probability

1

Random Experiments

2

Outcomes, Sample Spaces

3

Events Occurrence of Events, ‘not’, ‘and’ and ‘or’ Events

4

Exhaustive Events, Mutually Exclusive Events

5

Axiomatic Probability

6

Connections with other Theories of Earlier Classes

7

Probability of an Event, Probability of ‘not’, ‘and’ and ‘or’ Events

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CBSE Grade 11 Mathematics

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