# 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 (2021-22)

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 chapter-wise weightage. Care to be taken to cover all the chapters.

# Unit-l: Sets and Functions

1. ### 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.

1. ### 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, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain 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.

# Unit-II: Algebra

1. ### 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.

1. ### 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.

# Unit-III: Coordinate Geometry

1. ### 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, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Distance of a point from a line.

# Unit-IV: Calculus

1. ### Limits

Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions

# Unit-V: Statistics and Probability

1. ### 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

# Unit-I: Sets and Functions

1. ### 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:

$\tan (x \pm y)=\frac{\tan x \pm \tan y}{1 \mp \tan x \tan y}, \cot (x \pm y)=\frac{\cot x \cot y \mp 1}{\cot y \pm \cot x}$

$\sin \alpha \pm \sin \beta=2 \sin \frac{1}{2}(\alpha \pm \beta) \cos \frac{1}{2}(\alpha \mp \beta)$

$\cos \alpha+\cos \beta=2 \cos \frac{1}{2}(\alpha+\beta) \cos \frac{1}{2}(\alpha-\beta)$

$\cos \alpha-\cos \beta=-2 \sin \frac{1}{2}(\alpha+\beta) \sin \frac{1}{2}(\alpha-\beta)$

Identities related to $\sin 2 x, \cos 2 x, \tan 2 x, \sin 3 x, \cos 3 x$ and $\tan 3 x$.

# Unit-II: Algebra

1. ### 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.

1. ### 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.

# Unit-III: Coordinate Geometry

1. ### 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.

1. ### Introduction to Three-dimensional Geometry

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

# Unit-IV: Calculus

1. ### 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.

# Unit-V: Statistics and Probability

1. ### 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
• NCERT Solutions for Chapter 2 – Relations and Functions
• NCERT Solutions for Chapter 3 -Trigonometric Functions
• 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
• 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.

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