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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. Difference of sets. Complement of a set. Properties of Complement Sets. Practical Problems based on sets.

Lecture 1: Sets Part- 1


Lecture 2: Sets Part- 2


Lecture 3: Sets Part- 3


Lecture 4: Sets Part- 4


Lecture 5: Sets Part- 5


Lecture 6: Sets Part- 6


Lecture 7: Sets Part- 7

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Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the sets of real (upto R x 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 functions, with their graphs. Sum, difference, product and quotients of functions.

Lecture 1: Relation & Functions Part-1


Lecture 2: Relation & Functions Part-2

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In this session, you will learn logarithm and how to solve problem based on logarithm. 

Lecture 1: Logarithms Part- 1


Lecture 2: Logarithms Part 2


Lecture 3: Logarithms Part 3

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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 circle. Truth of the sin2x+cos2x=1, for all x. Signs of trigonometric functions. Domain and range of trignometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple application. Deducing identities like the following
syllabus 11 maths1
Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

Lecture 1: Trigonometric Functions Part-1


Lecture 2: Trigonometric Functions Part-2


Lecture 3: Trigonometric Functions Part-3


Lecture 4: Trigonometric Functions Part-4


Lecture 5: Trigonometric Functions Part-5


Lecture 6: Trigonometric Functions Part-6


Lecture 7: Trigonometric Functions Part-7


Lecture 8: Trigonometric Functions Part-8


Lecture 9: Trigonometric Functions Part-9


Lecture 10: Trigonometric Functions Part-10


Lecture 11: Trigonometric Functions Part-11

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Process of the proof by induction, motivating 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.

Lecture 1: Principle of Mathematical Induction Part- 1


Lecture 2: Principle of Mathematical Induction Part- 2


Lecture 3: Principle of Mathematical Induction Part- 3


Lecture 4: Principle of Mathematical Induction Part- 4

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Need for complex numbers, especially √1, to be motivated by inability to solve some of the quardratic 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 number system. Square root of a complex number.

Lecture 1: Complex Numbers & Quadratic Equations Part- 1


Lecture 2: Complex Numbers & Quadratic Equations Part- 2


Lecture 3: Complex Numbers & Quadratic Equations Part- 3


Lecture 4: Complex Numbers & Quadratic Equations Part- 4


Lecture 5: Complex Numbers & Quadratic Equations Part- 5


Lecture 6: Complex Numbers & Quadratic Equations Part- 6

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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 system of linear inequalities in two variables. 

Lecture 1: Linear Inequalities Part- 1


Lecture 2: Linear Inequalities Part- 2


Lecture 3: Linear Inequalities Part- 3

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Fundamental principle of counting. Factorial n. (n!)Permutations and combinations, derivation of formulae and their connections, simple applications.

Lecture 1: Permutations & Combinations Part- 1


Lecture 2: Permutations & Combinations Part- 2


Lecture 3: Permutations & Combinations Part- 3


Lecture 4: Permutations & Combinations Part- 4


Lecture 5: Permutations & Combinations Part- 5


Lecture 6: Permutations & Combinations Part- 6

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

Lecture 1: Binomial Theorem Part- 1


Lecture 2: Binomial Theorem Part- 2


Lecture 3: Binomial Theorem Part- 3


Lecture 4: Binomial Theorem Part- 4


Lecture 5: Binomial Theorem Part- 5

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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., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formula for the following special sum:

syllabus 11 maths2

Lecture 1: Sequence & Series Part- 1


Lecture 2: Sequence & Series Part- 2


Lecture 3: Sequence & Series Part- 3


Lecture 4: Sequence & Series Part- 4


Lecture 5: Sequence & Series Part- 5


Lecture 6: Sequence & Series Part- 6


Lecture 7: Sequence & Series Part- 7

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Brief recall of two dimensional geometry from earlier classes. Shifting of origin. 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. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line.

Lecture 1: Straight Lines Part- 1


Lecture 2: Straight Lines Part- 2


Lecture 3: Straight Lines Part- 3


Lecture 4: Straight Lines Part- 4


Lecture 5: Straight Lines Part- 5


Lecture 6: Straight Lines Part- 6


Lecture 7: Straight Lines Part- 7


Lecture 8: Straight Lines Part- 8

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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 parabola, ellipse and hyperbola. Standard equation of a circle.

Lecture 1: Conic Sections Part-1


Lecture 2: Conic Sections Part-2


Lecture 3: Conic Sections Part-3


Lecture 4: Conic Sections Part-4

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

Derivative introduced as rate of change both as that of distance function and geometrically.

Intutive idea of limit. Limits of polynomials and rational functions, trignometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions. The derivative of polynomial and trignometric functions.

Lecture 1: Limits & derivatives Part-1


Lecture 2: Limits & derivatives Part-2


Lecture 3: Limits & derivatives Part-3

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

Lecture 1: Statistics Part-1


Lecture 2: Statistics Part-2


Lecture 3: Statistics Part-3

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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' and 'or' events.

Lecture 1: Probability Part-1


Lecture 2: Probability Part-2

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Published    24-May-2017      Bilingual

As per the syllabus, you will study the following chapters:
1) Sets
2) Relations and Functions
3) Trigonometric Functions
4) Principles of Mathematical Induction
5) Complex number and quadratic equations
6) Linear Inequalities
7) Permutations and Combinations
8) Binomial Theorem
9) Sequence and Series
10) Straight Line
11) Conic Section
12) Introduction to 3D geometry
13) Limits and Derivatives
14) Mathematical Reasoning
15) Statistics 
16) Probability

Puneet Dogra

Phone: 95********94 Email: pun********@gmail.com
Address: Institute:

About Us

Hello, I am Puneet Dogra faculty of Study Khazana. I am a very passionate teacher. I am going to change your experience of learning maths. My way of teaching will surely lead you to your desired scores or may be more.Moreover I will give some magical tips to make maths much easier for you.


My highest qualification is MSc. in Mathematics from DU.


I have experience of more than 5 years in teaching.

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STUDY KHAZANA is an e-treasure of knowledge and education with one aim of upbringing the level of education all over the India. In the journey of more than 25 years with 150 centers across the India we discovered that many student are out of the reach of proper education due to poverty.

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