# CHSE Odisha Class 11 Math Book Solutions | Elements of Mathematics Class 11 CHSE Odisha Solutions Pdf Download

## CHSE Odisha 11th Class Math Book Solutions | Elements of Mathematics Class 11 Solutions CHSE Odisha Pdf Download

CHSE Math Solution Class 11 Pdf Chapter 1 Mathematical Reasoning

Elements of Mathematics Class 11 CHSE Odisha Solutions Chapter 2 Sets

Elements of Mathematics Class 11 Odisha Pdf Download Chapter 3 Relations and Functions

CHSE Odisha Class 11 Math Book Pdf Download Chapter 4 Trigonometric Functions

+2 1st Year Science Math Book Pdf Chapter 5 Principle of Mathematical Induction

Elements of Mathematics CHSE Solutions Class 11 Chapter 6 Complex Numbers and Quadratic Equations

Elements of Mathematics Class 11 Book Solutions Chapter 7 Linear Inequalities

Elements of Mathematics Vol 1 Solution Pdf Download Chapter 8 Permutations and Combinations

Class 11 Elements of Mathematics Book Pdf Chapter 9 Binomial Theorem

Elements of Mathematics Class 11 Solutions CHSE Odisha Chapter 10 Sequences and Series

Elements of Mathematics Class 11 CHSE Odisha Chapter 11 Straight Lines

Elements of Mathematics Class 11 Odisha Chapter 12 Conic Sections

CHSE Math Solution Class 11 Pdf Chapter 13 Introduction to Three-Dimensional Geometry

Elements of Mathematics Class 11 CHSE Odisha Solutions Chapter 14 Limit and Differentiation

Elements of Mathematics Class 11 Solutions CHSE Odisha Pdf Download Chapter 15 Statistics

Elements of Mathematics Class 11 CHSE Odisha Pdf Download Chapter 16 Probability

### CHSE Odisha Class 11 Maths Syllabus (+2 1st year)

Mathematics (+2 First Year)
Course Structure

 Unit Topic Marks No. of Periods I Sets and Functions 29 60 II Algebra 37 70 III Co-ordinate Geometry 13 40 IV Calculus 6 30 V Mathematical Reasoning 3 10 VI Statistics and Probability 12 30 Total 100 240

Unit I Sets and Functions

Chapter 2 Sets
Sets and their representations. The 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, Difference of sets, Complement of a set, Properties of Complement of Sets, Practical Problems based on sets.

Chapter 3 Relations & Functions
Ordered pairs, Cartesian product of sets. The number of elements in the Cartesian product of two finite sets. Cartesian product of the sets of real (upto R × R). Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Function as a special kind of relation from one set to another. 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 function, with their graphs Sum, difference, product, and quotients of functions.

Chapter 4 Trigonometric Functions
Positive and negative angles. Measuring angles in radians and in degrees and conversion of one into other. Definition of trigonometric functions with the help of unit circles. Truth of sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin(x±y) and cos(x±y) in terms of sin x, sin y, cos x & cos y and their simple application.
Deducing identities like the following:
tan(x±y) = $$\frac{\tan x \pm \tan y}{1 \mp \tan x \tan y}$$
cot(x±y) = $$\frac{\cot x \cot y \mp 1}{\cot y \pm \cot x}$$
sin x + sin y = 2 sin $$\frac{x+y}{2}$$ cos $$\frac{x-y}{2}$$
sin x – sin y = 2 cos $$\frac{x+y}{2}$$ sin $$\frac{x-y}{2}$$
cos x + cos y = 2 cos $$\frac{x+y}{2}$$ cos $$\frac{x-y}{2}$$
cos x – cos y = -2 sin $$\frac{x+y}{2}$$ sin $$\frac{x-y}{2}$$
Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x, and tan 3x. Trigonometric equations Principal solution, General solution of trigonometric equations of the type sin x = sin y, cos x = cos y, and tan x = tan y. Proof and Simple applications of sine and cosine formulas.

Unit II Algebra

Chapter 5 Principle of Mathematical Induction
Process of the proof by induction, motivation the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

Chapter 6 Complex Numbers and Quadratic Equations
Need for complex numbers, especially to be motivated by inability to solve some of the quadratic equations; Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex system. The square root of a complex number, cube roots of unity, and its properties.

Chapter 7 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 solution of a system of linear inequalities in two variables.

Chapter 8 Permutations and Combinations
The fundamental principle of counting, factorial n. (n!), Permutations and combinations, derivation of formulae and their connections, simple applications.

Chapter 9 Binomial Theorem
History, statement, and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications.

Chapter 10 Sequence and Series
Sequence and Series, Arithmetic Progression (A.P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a GP, the sum of n terms of a GP., Arithmetic and Geometric series, infinite G.P. and its sum, geometric mean (G.M.), Harmonic (mean) relation between A.M., GM. and H.M., Formula for the following special sum: Arithmetic-Geometric Series, Exponential Series, Logarithmic Series, Binomial Series.

Unit III Co-ordinate Geometry

Chapter 11 Straight Lines
Brief recall of two-dimensional geometry from earlier classes. The slope of a line and the 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. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line, Shifting of Origin.

Chapter 12 Conic Sections
Sections of a cone: circles, ellipse, parabola, hyperbola; a point, a straight line, and a pair of intersecting lines as a degenerated case of a conic section; Standard equations and simple properties of Circle, parabola, ellipse, and hyperbola.

Chapter 13 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

Chapter 14 Limits and Derivatives
Derivative introduced as rate of change both as that of distance function and geometrically. The intuitive idea of limit. Limits of polynomials and rational functions, trigonometric, exponential, and logarithmic functions. Definition of derivative, relate it to the slope of the tangent of a curve, a derivative of the sum, difference, product, and quotient of functions. The derivative of polynomial and trigonometric functions.

Unit V Mathematical Reasoning

Chapter 1 Mathematical Reasoning
Mathematically acceptable statements. Connecting words/phrases-consolidating the understanding of “if and only if (necessary and sufficient) condition,” “implies”, “and/ or”, “implied by”, “and”, “of’, “there exists” and their use through a variety of examples related to real life and Mathematics. Validating the statements involving the connecting words, the difference between contradiction, converse, and contrapositive,

Unit VI Statistics and Probability

Chapter 15 Statistics
Measures of dispersion; Range, mean deviation, variance, and standard deviation of ungrouped/ grouped data. Analysis of frequency distributions with equal means but different variances.

Chapter 16 Probability
Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event.Probability of ‘not’, ‘and’ ‘or’ events.

Books Recommended:
Bureau’s Higher Secondary (+2) Elements of Mathematics, Part-I, Published by Odisha State Bureau of Text Book Preparation and Production, Bhubaneswar.