# Teacher Special Membership

Package of Three Memberships of Class 12 Maths, Class 11 Maths and Class 10 Maths with longer validity and additional discount. Teacher training helps teachers to prepare for all levels to teach from beginners to proficiency, questions starting from the basic and easy ones to the difficult and advanced levels including NCERT Exercise Questions, NCERT Exemplar Problem, R.D Sharma, R.S Aggarwal, Board’s Question Bank, and Important Examples with Additional lectures based on Logarithms, Critical Points and Modulus. Teacher Special training is also essential for them to have skillful management and professional training in the most effective way possible.

#### MEMBERSHIP FULL

## CLASS 12 MATHEMATICS

## Ch01. Relations and Functions (Part – 1)

In this self study course, you will learn Empty Relations, Universal Relations, Trivial Relations, Reflexive Relations, Symmetric Relations, Transitive Relations, Equivalence Relations, Equivalence Classes. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch01. Relations and Functions (Part – 2)

In this self study course, you will learn One to one and onto functions, composite functions and inverse of a function. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch02. Inverse Trigonometric Functions

In this self study course, you will learn definition, range, domain, principal value branch, graphs of inverse trigonometric functions and elementary properties of inverse trigonometric functions. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch03. Matrices Class 12 Maths

**THIS IS A COMBO OF TWO COURSES**

**COURSE – 1**

In this self study course, you will learn concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non- commutativity of multiplication of matrices. Concept of elementary row and column operations and Invertible matrices. This course also has solutions of NCERT Exercise questions.

Please note, this course comprises of live session recordings of Ashish Kumar (Agam Sir). Please ignore, if you have heard Agam Sir discussing about live session or doubts session in the course. Live sessions or doubts sessions are no longer offered.

**COURSE – 2**

This self study course is an extended part of Ch03. Matrices Class 12 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course. Please note, the assignments do not have questions based on elementary operations.

## Ch04. Determinants Class 12 Maths

**THIS IS A COMBO OF TWO COURSES**

**COURSE – 1**

In this self study course, you will learn determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.. This course also has solutions of NCERT Exercise questions.

Please note, this course comprises of live session recordings of Ashish Kumar (Agam Sir). Please ignore, if you have heard Agam Sir discussing about live session or doubts session in the course. Live sessions or doubts sessions are no longer offered.

**COURSE – 2**

This self study course is an extended part of Ch04. Determinants Class 12 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course. Please note, the assignments do not have questions based on properties of determinants.

## Ch05. Continuity and Differentiability Class 12 Maths

The whole chapter Continuity and Differentiability is divided into three courses. This course is the part one. In this self study course, you will learn continuity, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions.Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. This course also has NCERT Exercise solutions, some important NCERT Examples and assignment based on NCERT Exemplar, R.D. Sharma, board’s question bank etc. Please note, all three courses based on Continuity and Differentiability do not have Rolle’s Theorem, Mean Value Theorem, NCERT Exercise 5.8 and questions based on them in Miscellaneous exercise.

## Ch05. Continuity and Differentiability (Differentiability Assignment – 3) Class 12 Assignments

The whole chapter Continuity and Differentiability is divided into three courses. This course is the part 2. In this self study course, you will learn about differentiability. This course also has assignment that has questions from NCERT Exemplar, R.D. Sharma, board’s question bank etc. Please note, all three courses based on Continuity and Differentiability do not have Rolle’s Theorem, Mean Value Theorem, NCERT Exercise 5.8 and questions based on them in Miscellaneous exercise. The PDF of assignment can be downloaded within the course.

## Ch05. Continuity and Differentiability (Derivative Assignments) Class 12 Assignments

The whole chapter Continuity and Differentiability is divided into three courses. This course is the part 3. The course is based on the assignments on Derivatives by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course. Please note, all three courses based on Continuity and Differentiability do not have Rolle’s Theorem, Mean Value Theorem, NCERT Exercise 5.8 and questions based on them in Miscellaneous exercise.

## Ch06. Applications of Derivatives

**THIS IS A COMBO OF TWO COURSES**

**COURSE – 1**

In this self study course, you will learn applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations). For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT Examples.

**COURSE – 2**

This self study course is an extended part of Ch06. Applications of Derivatives. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course.

## Ch07. Integrals

In this self study course, you will learn integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them

\int{\frac{dx}{x^2 \pm a^2}}, \int{\frac{dx}{\sqrt{x^2 \pm a^2}}}, \int{\frac{dx}{\sqrt{a^2 - x^2}}}, \int{\frac{dx}{ax^2+bx+c}}, \int{\frac{dx}{\sqrt{ax^2+bx+c}}}, \int{\frac{px+q}{ax^2+bx+c}}dx, \int{\frac{px+q}{\sqrt{ax^2+bx+c}}}dx, \int{\sqrt{a^2 \pm x^2}}dx, \int{\sqrt{x^2-a^2}}dx, \int{\sqrt{ax^2+bx+c}}dx, \int{(px+q) \sqrt{ax^2+bx+c}}dx

For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that has questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

"Limit of Sum" and "Properties of Integrals" are not included in this course.

## Ch07. Properties of Integrals

## Ch08. Limit of Sum & Application of Definite Integrals

In this self study course, you will learn limit of sum, applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only), area between any of the two above said curves (the region should be clearly identifiable). For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch09. Differential Equations

In this self study course, you will learn definition, order and degree, general and particular solutions of a differential equation. formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

\frac{dy}{dx}+ py = q, where p and q are functions of y or constants

\frac{dx}{dy}+ px = q, where p and q are functions of y or constants

For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions. Also, there are self practice assignments that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch10. Vector Algebra Class 12 Maths

**THIS IS A COMBO OF TWO COURSES**

**COURSE – 1**

In this self study course, you will learn vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors. This course also has solutions of NCERT Exercise and a few important examples. Please note, some of the part of this course comprises of live session recordings of Ashish Kumar (Agam Sir). Please ignore, if you have heard Agam Sir discussing about live session or doubts session in the course. Live sessions or doubts sessions are no longer offered.

**COURSE – 2**

This self study course is an extended part of Ch10. Vector Algebra Class 12 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course.

## Ch11. Three Dimensional Geometry Class 12 Maths

In this self study course, you will learn direction cosines and direction ratios of a line joining two points.Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines.Cartesian and vector equation of a plane.Angle between (i) two lines, (ii) two planes, (iii) a line and a plane.Distance of a point from a plane. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course. Please note, this course comprises of live session recordings of Ashish Kumar (Agam Sir). Please ignore, if you have heard Agam Sir discussing about live session or doubts session in the course. Live sessions or doubts sessions are no longer offered.

## Ch12. Linear Programming Problems

In this self study course, you will learn introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions (except Exercise 12.1). Also, there is practice assignment that has questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignment can be downloaded within the course.

## Ch13. Probability

In this self study course, you will learn conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean and variance of random variable.

For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Other Important Topics for Maths and Physics

This course contains supplementary / extra videos that will be required for better understanding of Maths and Physics but are not covered under the school syllabus.

## CLASS 11 MATHEMATICS

## Ch01. Sets

In this self-study course you will learn 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. This course also has solutions of NCERT Exercise questions. Please note, this course does not have solutions of all miscellaneous exercise questions. Only last four questions of miscellaneous exercise are available in this course.

## Ch02. Relations and Functions

This course is the part-1 of Ch02. Relations and Functions of Class 11 Maths. In this self-study course you will learn 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 (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Sum, difference, product and quotients of functions. This course also has solutions of NCERT Exercise questions. Please note, questions based on Domain and Range of a function is available in the part-2 of this course.

## Ch02. Domain and Range of Functions

This course is the part-2 of Ch02. Relations and Functions of Class 11 Maths. In this self-study course you will learn 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. This course also has solutions of NCERT Exercise questions and solutions of assignments that have questions from NCERT Exemplar, R.D. Sharma, Board’s question bank etc.

## Ch03. Trigonometric Functions

In this self-study course you will learn 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 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 sinx, siny, cosx & cosy and their simple applications. Deducing identities. Laws of Sines and cosines. This course also has solutions of NCERT Exercise questions. This course does not include solutions of Supplementary exerise based on Laws of Sines and cosines. Please note, this course comprises of live session recordings of Ashish Kumar (Agam Sir). Please ignore, if you have heard Agam Sir discussing about live session or doubts session in the course. Live sessions or doubts sessions are no longer offered.

## Ch03. Trigonometric Functions Assignments

This self study course is an extended part of Ch03. Trigonometric Functions Class 11 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course. Please note, the assignments do not have questions based on laws of sines and cosines.

## Ch04. Principle of Mathematical Induction

In this self study course, you will learn 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. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT examples.

## Ch05. Complex Numbers & Quadratic Equations

In this self study course, you will learn 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 and polar representation of complex numbers. solution of quadratic equations (with real coefficients) in the complex number system. Square root of a complex number. This course also has solutions of NCERT Exercise questions.

## Ch05. Complex Numbers and Quadratic Equations Assignments

This self study course is an extended part of Ch05. Complex Numbers and Quadratic Equations Class 11 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course.

## Ch06. Linear Inequalities

In this self study course, you will learn 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. This course also has solutions of NCERT Exercise questions. Please note, this course does not include all questions of NCERT Exercises. For more details, check the index of the course.

## Ch06. Linear Inequalities Assignments

This self study course is an extended part of Ch06. Linear Inequalities Class 11 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course.

## Ch07. Permutations and Combinations

In this self study course, you will learn fundamental theorem of counting, factorial, permutations and combinations. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT examples. This course also has assignments that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch08. Binomial Theorem

In this self study course, you will learn history, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT Examples.

## Ch08. Binomial Theorem Assignments

This course is extended part of main course of Ch8. Binomial Theorem and is based on the assignments by Ashish Kumar (Agam Sir). The assignments have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc., under the syllabus of Class 11 Mathematics. PDF of assignments can be downloaded within the course.

## Ch09. Sequences and Series

In this self study course, 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.). For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT examples.

## Ch09. Sequences and Series Assignments

This self study course is an extended part of Ch09. Sequences and Series Class 11 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course.

## Ch10. Straight Lines

In this self study course, you will learn 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. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT examples.

## Ch10. Straight Lines Assignments

This course is extended part of main course of Ch10. Straight Lines and is based on the assignments by Ashish Kumar (Agam Sir). The assignments have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc., under the syllabus of Class 11 Mathematics. PDF of assignments can be downloaded within the course.

## Ch11. Conic Sections

In this self study course, you will learn standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions.

## Ch11. Conic Sections Assignments

This course is extended part of main course of Ch11. Conic Sections and is based on the assignments by Ashish Kumar (Agam Sir). The assignments have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc., under the syllabus of Class 11 Mathematics. PDF of assignments can be downloaded within the course.

## Ch12. Introduction to three dimensional geometry

In this self study course, you will learn coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch13. Limits (Limits and Derivatives Part -1)

In this self study course, intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. For further understanding of concepts and for examination preparation, this course has explanation of NCERT Exercise 13.1, NCERT Supplementary Exercise questions, important NCERT examples and questions based on the above topics are discussed in the form of assignments that has questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch13. Derivatives (Limits and Derivatives Part-2)

In this self study course, 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. This is the second part of chapter 13 limits and derivatives and for further understanding of concepts and for examination preparation, this course has explanation of NCERT Exercise 13.2, NCERT Miscellaneous Exercise questions, and questions based on chain rule are discussed in the form of assignment that has questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignment can be downloaded within the course.

## Ch15. Statistics

In this self study course, you will learn measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions. Also, there is practice assignment that has questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignment can be downloaded within the course.

## Ch16. Probability

In this self study course, you will learn 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. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## CLASS 10 MATHEMATICS

## Ch01. Real Numbers

In this self study course, you will learn Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality, Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch02. Polynomials

In this self study course, you will learn Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients. For further understanding of concepts and for examination preparation, this course also has explanation of NCERT Exercise questions and practice questions based on the above topics are discussed in the form of assignments that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch03. Pair of Linear Equations in Two Variables

In this self study course, you will learn Pair of linear equations in two variables and graphical method of their solution, consistency / inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations. For further understanding of concepts and for examination preparation, this course also has explanation of NCERT Exercise questions and practice questions based on the above topics are discussed in the form of assignments that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch04. Quadratic Equations

In this self study course, you will learn Standard form of a quadratic equation ax²+bx+c=0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated. For further understanding of concepts and for examination preparation, this course also has explanation of NCERT Exercise questions and practice questions based on the above topics are discussed in the form of assignments that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch05. Arithmetic Progression

In this self study course, you will learn Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems. For further understanding of concepts and for examination preparation, this course also has explanation of NCERT Exercise questions. Please note, this course comprises of live session recordings of Ashish Kumar (Agam Sir). Please ignore, if you have heard Agam Sir discussing about live session or doubts session in the course. Live sessions or doubts sessions are no longer offered.

## Ch6. Triangles

In this self study course, you will learn Definitions, examples, counter examples of similar triangles. 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. 6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other. 7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. 8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignment for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignment can be downloaded within the course.

## Ch7. Coordinate Geometry

In this self study course, you will learn concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions.

## Ch8. Introduction to Trigonometry

In this self study course, you will learn trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0°, 90°. Values of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios. Proof and applications of the identity sin²A + cos²A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch09. Applications of Trigonometry

In this self study course, you will learn Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, 60°. For further understanding of concepts and for examination preparation, this course also has explanation of NCERT Exercise questions and practice questions based on the above topics are discussed in the form of assignments that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch10. Circles

In this self study course, you will learn Tangent to a circle at, point of contact 1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. 2. (Prove) The lengths of tangents drawn from an external point to a circle are equal. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT Examples.

## Ch11. Constructions

In this self study course, you will learn 1. Division of a line segment in a given ratio (internally). 2. Tangents to a circle from a point outside it.. For further understanding of concepts and for examination preparation, this course also has explanation of NCERT Exercise questions. Please note, this course only has Question 1 of NCERT Exercise 11.1 . For more details check the course index.

## Ch12. Area related to Circles

In this self study course, Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.) For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch13. Surface Areas and Volumes

In this self study course, you will learn 1. Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone. 2. Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken). For further understanding of concepts and for examination preparation, this course also has explanation of NCERT Exercise questions. Please note, this course only does not have derivations for frustum of cone and Question 5 of NCERT Exercise 13.4 . For more details check the course index. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch14. Statistics

In this self study course, you will learn Mean, median and mode of grouped data (bimodal situation to be avoided) For further understanding of concepts and for examination preparation, this course also has explanation of NCERT Exercise questions. Please note, this course does not have topics and questions based on Exercise 14.4 . For more information, check the index of the course. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch15. Probability

In this self study course, you will learn classical definition of probability and simple problems on finding the probability of an event. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.