CBSE Maths Class 11
CBSE CLASS 11: AN OVERVIEW
CBSE Class 11 is a crucial year for students because it sets the foundation for all the important topics that will be covered not only in class 12 but in further studies too. It is important to study sincerely in Class 11 not only for the CBSE Board exams but also for the competitive exams that will ensure entry into a good college. Students should utilize the Class 11 academic year to build their basics, doing so will help them to face the board exam confidently next year.
SpeEdLabs offers courses for Maths which is not only designed to ace the CBSE board exams but also make the students ready for Engineering and Medical Entrance tests. The CBSE curriculum framework is designed to ensure that students are not under great pressure and that books are made interactive and interesting. Also, many fun activities are included in the chapters making the whole process of passing on information to students effective and healthy.
Scheme For Theory Examination [80 Marks]:
The question paper consist of 26 questions divided into three sections and . Section A comprises of 06 questions of one mark each, section B comprises of 13 questions of four marks each and section C comprises of 07 questions of six marks each.
All questions in Section are to be answered in one word, one sentence or as per the exact requirement of the question. There is no overall choice. However, internal choice has been provided in 04 questions of four marks each and 02 questions of six marks each.
You have to attempt only one of the alternatives in all such questions.
Unit No. 
Unit Name 
Weightage 
1. 
Sets and Functions 
23 Marks 
2. 
Algebra 
30 Marks 
3. 
Coordinate Geometry 
10 Marks 
4. 
Calculus 
07 Marks 
5. 
Statistics and Probability 
10 Marks 
Total 
80 Marks 

Internal Assessment 
20 Marks 
To get the syllabus for all the subjects of class 11 and 12, visit following links:
1) CBSE CLASS 11 Maths Sample Papers
2) CBSE CLASS 11 Maths Competitive Questions
3) CBSE CLASS 12 Maths Syllabus
4) CBSE CLASS 11 Maths Sample Papers
Described Syllabus For Theory Exam
CLASS XI (202122)
TERM – I
One Paper
90 Minutes Max
Marks: 40
No. 
Units 
Marks 
I. 
Sets and Functions 
11 
II. 
Algebra 
13 
III. 
Coordinate Geometry 
6 
IV. 
Calculus 
4 
V. 
Statistics and Probability 
6 

Total 
40 

Internal Assessment 
10 

Total 
50 
*No chapterwise weightage. Care to be taken to cover all the chapters.
Unitl: Sets and Functions

Sets
Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets.

Relations & Functions
Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself ($mathrm{R} times mathrm{R}$ only).Definition of relation, pictorial diagrams, domain, codomain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, codomain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs.
UnitII: Algebra

Complex Numbers and Quadratic Equations
Need for complex numbers, especially $sqrt{1}$, to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.

Sequence and Series
Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of $n$ terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.
UnitIII: Coordinate Geometry

Straight Lines
Brief recall of two dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point slope form, slopeintercept form, twopoint form, intercept form and normal form. General equation of a line. Distance of a point from a line.
UnitIV: Calculus

Limits
Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions
UnitV: Statistics and Probability

Statistics
Measures of Dispersion: Range, mean deviation, variance and standard deviation of ungrouped/grouped data.
INTERNAL ASSESSMENT 
10 MARKS 
Periodic Test 
5 Marks 
Mathematics Activities: Activity file record +Term end assessment of one activity & Viva 
5 Marks 
Note: For activities NCERT Lab Manual may be referred
Term – II
One Paper
Max. Marks: 40
No. 
Units 
Marks 
I. 
Sets and Functions (Cont.) 
8 
II. 
Algebra (Cont.) 
11 
III. 
Coordinate Geometry (Cont.) 
9 
IV. 
Calculus (Cont.) 
6 
V. 
Statistics and Probability (Cont.) 
6 

Total 
40 

Internal Assessment 
10 
Total 50
UnitI: Sets and Functions

Trigonometric Functions
Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity $sin 2 x+cos 2 x=1$, for all $x$. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing $sin (x pm y)$ and $cos (x pm y)$ in terms of $sin x, sin y, cos x & cos y$ and their simple applications. Deducing identities like the following:
$tan (x pm y)=frac{tan x pm tan y}{1 mp tan x tan y}, cot (x pm y)=frac{cot x cot y mp 1}{cot y pm cot x}$
$sin alpha pm sin beta=2 sin frac{1}{2}(alpha pm beta) cos frac{1}{2}(alpha mp beta)$
$cos a
lpha+cos beta=2 cos frac{1}{2}(alpha+beta) cos frac{1}{2}(alphabeta)$
$cos alphacos beta=2 sin frac{1}{2}(alpha+beta) sin frac{1}{2}(alphabeta)$
Identities related to $sin 2 x, cos 2 x, tan 2 x, sin 3 x, cos 3 x$ and $tan 3 x$.
UnitII: Algebra

Linear Inequalities
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical method of finding a solution of system of linear inequalities in two variables.

Permutations and Combinations
Fundamental principle of counting. Factorial $n$. (n!) Permutations and combinations, formula for ${ }^{mathrm{n}} mathrm{P}_{mathrm{r}}$ and ${ }^{mathrm{}} mathrm{C}_{mathrm{r}}$, simple applications.
UnitIII: Coordinate Geometry

Conic Sections
Sections of a cone: circles, ellipse, parabola, hyperbola. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

Introduction to Threedimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
UnitIV: Calculus

Derivatives
Derivative introduced as rate of change both as that of distance function and geometrically. Definition of Derivative, relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
UnitV: Statistics and Probability

Probability
Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.
INTERNAL ASSESSMENT 
10 MARKS 
Periodic Test 
5 Marks 
Mathematics Activities: Activity file record +Term end assessment of one activity & Viva 
5 Marks 
Note: For activities NCERT Lab Manual may be referred
NCERT Solutions For Mathematics Class 11
 NCERT Solutions for Chapter 1 Sets
 Exc 1.1 Solution
 Exc 1.2 Solution
 Exc 1.3 Solution
 Exc 1.4 Solution
 Exc 1.5 Solution
 Exc 1.6 Solution
 NCERT Solutions for Chapter 2 – Relations and Functions
 NCERT Solutions for Chapter 3 Trigonometric Functions
 NCERT Solutions for Chapter 4 – Principle of Mathematical Induction
 NCERT Solutions for Chapter 5 – Complex Number and Quadratic Equations
 NCERT Solutions for Chapter 6 – Linear Inequalities
 NCERT Solutions for Chapter 7 – Permutation and Combinations
 NCERT Solutions for Chapter 8 Binomial Theorem
 NCERT Solutions for Chapter 9 – Sequences and Series
 NCERT Solutions for Chapter 10 – Straight Lines
 NCERT Solutions for Chapter 11 – Conic Sections
 NCERT Solutions for Chapter 12 – Introduction to Three Dimensional Geometry
 NCERT Solutions for Chapter 13 – Limits and Derivatives
 NCERT Solutions for Chapter 14 – Mathematical Reasoning
 Exc 14.1 Solution
 Exc 14.2 Solution
 Exc 14.3 Solution
 Exc 14.4 Solution
 Exc 14.5 Solution
 Exc 14.6 Solution
 NCERT Solutions for Chapter 15 – Statistics
 NCERT Solutions for Chapter 16 – Probability
Important Questions For Maths Class 11
The CBSE course structure is designed in a manner to ensure that students do not go through a lot of pressure, moreover, books are made interactive and interesting for students to enjoy their studies. A lot of fun activities are included in between the chapters to help students learn in a playful way. It makes the process of conveying knowledge to the students efficient and healthy.
 Chapter 1 Sets
 Chapter 2 – Relations and Functions
 Chapter 3 Trigonometric Functions
 Chapter 4 – Principle of Mathematical Induction
 Chapter 5 – Complex Number and Quadratic Equations
 Chapter 6 – Linear Inequalities
 Chapter 7 – Permutation and Combinations
 Chapter 8 Binomial Theorem
 Chapter 9 – Sequences and Series
 Chapter 10 – Straight Lines
 Chapter 11 – Conic Sections
 Chapter 12 – Introduction to Three Dimensional Geometry
 Chapter 13 – Limits and Derivatives
 Chapter 14 – Mathematical Reasoning
 Chapter 15 – Statistics
 Chapter 16 – Probability
CBSE Class 11 Videos
https://player.vimeo.com/video/431571037https://www.youtube.com/watch?v=3b57alk5eWw&list=PLAd_LZpvS51cqVPIbSo1LzyhayF4TbFEwhttps://player.vimeo.com/video/431571954https://www.youtube.com/watch?v=c4h62b9PnOI&list=PLAd_LZpvS51cqVPIbSo1LzyhayF4TbFEw&index=21