# Jharkhand Board Class 11 Mathematics Syllabus 2020 [NCERT PDF]

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185 # Class 11 Mathematics NCERT Syllabus for  JAC Board

Hi Students! If you are in Intermediate First Year and searching for JAC Board Class 11 Mathematics Syllabus 2020, then you are at the right place. You will get here complete details about Class 11 Mathematics NCERT Syllabus for Jharkhand Board.

Mathematics Syllabus for Intermediate First Year consists of  16 Chapters. We will discuss about all the Units along with the topics covered in each chapter. Also, I have provided Summary of some chapters at the end, so read this article completely.

## Jharkhand Board Class 11 Mathematics Syllabus

First of all, let’s know about the all 16 chapters and then we will discuss about their topics and sub-topics which are to be studied in Intermediate First Year Class 11 Maths NCERT Syllabus.

1. Sets
2. Relations and Functions
3. Trigonometric Functions
4. Principle of Mathematical Induction
5. Complex Numbers and Quadratic Equations
6. Linear Inequalities
7. Permutations and Combinations
8. Binomial Theorem
9. Sequences and Series
10. Straight Lines
11. Conic Sections
12. Introduction to Three Dimensional Geometry
13. Limits and Derivatives
14. Mathematical Reasoning
15. Statistics
16. Probability ### Chapter 1: Sets

• Sets and their Representations
• The Empty Set
• Finite and Infinite Sets
• Equal Sets
• Subsets
• Power Set
• Universal Set
• Venn Diagrams
• Operations on Sets
• Complement of a Set
• Practical Problems on Union and Intersection of Two Sets

### Chapter 2: Relations and Functions

• Cartesian Product of Sets
• Relations
• Functions

### Chapter 4: Principle of Mathematical Induction

• Motivation
• The Principle of Mathematical Induction

### Chapter 5: Complex Numbers and Quadratic Equations

• Complex Numbers
• Algebra of Complex Numbers
• The Modulus and the Conjugate of a Complex Number
• Argand Plane and Polar Representation

### Chapter 6: Linear Inequalities

• Inequalities
• Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
• Graphical Solution of Linear Inequalities in Two Variables
• Solution of System of Linear Inequalities in Two Variables

### Chapter 7: Permutations and Combinations

• Fundamental Principle of Counting
• Permutations
• Combinations

### Chapter 8: Binomial Theorem

• Binomial Theorem for Positive Integral Indices
• General and Middle Terms

### Chapter 9: Sequences and Series

• Sequences
• Series
• Arithmetic Progression (A.P.)
• Geometric Progression (G.P.)
• Relationship Between A.M. and G.M.
• Sum to n terms of Special Series

### Chapter 10: Straight Lines

• Slope of a Line
• Various Forms of the Equation of a Line
• General Equation of a Line
• Distance of a Point From a Line

### Chapter 11: Conic Sections

• Sections of a Cone
• Circle
• Parabola
• Ellipse
• Hyperbola

### Chapter 12: Introduction to Three Dimensional Geometry

• Coordinate Axes and Coordinate Planes in Three Dimensional Space
• Coordinates of a Point in Space
• Distance between Two Points
• Section Formula

### Chapter 13: Limits and Derivatives

• Intuitive Idea of Derivatives
• Limits
• Limits of Trigonometric Functions
• Derivatives

### Chapter 14: Mathematical Reasoning

• Statements
• New Statements from Old
• Special Words/Phrases
• Implications
• Validating Statements

### Chapter 15: Statistics

• Measures of Dispersion
• Range
• Mean Deviation
• Variance and Standard Deviation
• Analysis of Frequency Distributions

### Chapter 16: Probability

• Random Experiments
• Event
• Axiomatic Approach to Probability

So, these are the all chapter that are to be studied in JAC Board Class 11 Mathematics Syllabus 2020. For your convenience, I am also providing you Summary of Two Chapters. If you need summary for all chapters, you can go to JAC Board Study Material section.

## SETS Summary: Class 11 Mathematics Syllabus

The very first chapter (Sets) deals with some basic definitions and operations involving sets. These are summarized below:

• A set is a well-defined collection of objects.
• Empty Set: A set which does not contain any element.
• A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set.
• Two sets A and B are said to be equal if they have exactly the same elements.
• A Set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R.
• A power set of a set A is collection of all subsets of A. It is denoted by P(A).
• Union of two sets A and B is the set of all those elements which are either in A or in B.
• The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B.
• Complement of a subset A of universal set U is the set of all elements of U which are not the elements of A.
• For any two sets A and B, (A ∪ B)′ = A′ ∩ B′ and ( A ∩ B )′ = A′ ∪ B′
• If A and B are finite sets such that A ∩ B = φ, then
n (A ∪ B) = n (A) + n (B).
If A ∩ B ≠ φ, then n (A ∪ B) = n (A) + n (B) – n (A ∩ B)

## Relations & Functions: Class 11 Mathematics Syllabus

In this Chapter, we studied about relations and functions. The main features of this Chapter are as follows:

• Ordered pair: A pair of elements grouped together in a particular order.
• Cartesian product A × B of two sets A and B is given by
A × B = {(a, b): a ∈ A, b ∈ B}
In particular R × R = {(x, y): x, y ∈ R}
and R × R × R = (x, y, z): x, y, z ∈ R} ®
• If (a, b) = (x, y), then a = x and b = y.
• If n(A) = p and n(B) = q, then n(A × B) = pq.
• A × φ = φ
• In general, A × B ≠ B × A.

#### Class 11 Maths Syllabus: Relations and Functions

• Relation: A relation R from a set A to a set B is a subset of the cartesian product A × B obtained by describing a relationship between the first element x and the second element y of the ordered pairs in A × B.
• The image of an element x under a relation R is given by y, where (x, y) ∈ R,
• The domain of R is the set of all first elements of the ordered pairs in a relation R.
• The range of the relation R is the set of all second elements of the ordered pairs in a relation R.
• Function: A function f from a set A to a set B is a specific type of relation for which every element x of set A has one and only one image y in set B. We write f: A→B, where f(x) = y.
• A is the domain and B is the codomain of f.
• The range of the function is the set of images.
• A real function has the set of real numbers or one of its subsets both as its domain and as its range.
• Algebra of functions For functions f : X → R and g : X → R, we have
(f + g) (x) = f (x) + g(x), x ∈ X
(f – g) (x) = f (x) – g(x), x ∈ X
(f.g) (x) = f (x) .g (x), x ∈ X
(kf) (x) = k ( f (x) ), x ∈ X, where k is a real number.

### Conclusion: Jharkhand Board Class 11 Mathematics Syllabus

So friends! This is the Complete NCERT Syllabus for Intermediate First Year Class 11 Maths. I hope this article might have helped you in your search for JAC Board Class 11 Mathematics Syllabus 2020.

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