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 do 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 do 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.