Real Number |
Introduction on real number, Division Lemma and Algorithm |
Problems on Division Lemma and Algorithm |
Fundamental Theorem of Arithmetic and its Problems |
Relation between HCF and LCM of three numbers and its Problems |
Rational and Irrational numbers, Theorems and Examples |
Decimal Expansion of Rational Numbers |
Problems |
Polynomials |
Polynomial in one variable, Degree of Polynomial |
Value of Polynomial, Zero of Polynomial |
Graph of Linear Polynomial |
Graph of Quadratic Polynomial |
Graph of Cubic Polynomial |
Relation Between Zeros and Coefficient |
Relation Between Zeros and Coefficient of a cubic polynomial |
Division Algorithm for Polynomials |
Algebraic Identities |
Problems |
Pair of Linear Equations in Two Variables |
Linear Equations in one variable and their graphs in cartesian plane |
Pair of Linear Equations in two variables |
Graphical Representation for a pair of linear Equations in two variables |
Consistency of Pair of Linear Equations |
Solving a pair of linear equations: Substitution method |
Solving a pair of linear equations: Elimination method |
Solving a pair of linear equations: Cross Multiplication method, and its Problems |
Reducing to Linear Equations, examples |
Problems |
Quadratic Equations |
Introduction and Problems |
Solution of Quadratic equation by Factor Method |
Solution of Quadratic equation by completing the square |
Solution of Quadratic equation using Quadratic Formula |
Nature of Roots of quadratic equation and problems |
Problems |
Arithmetic Progressions |
Introduction of Sequence |
Introduction of Arithmetic Progression |
Nth Term of A.P. |
Sum of n terms of A.P. |
Problems |
Triangles |
Line/Angle Revision |
Triangle Revision |
Quadrilateral Revision |
Area Revision |
Congruent and similar figures and its Problems |
Basic Proportional Theorem |
Converse of Basic Proportional Theorem and Example |
Similar triangles, theorems, criteria |
Area Theorem |
Problems |
Coordinate Geometry |
Cordinate system in plane, distance formula |
Section Formula |
Area of Triangle |
Problems |
Introduction to Trigonometry |
Introduction, Trigonometric Ratios, Relation between Trigonometric Ratios |
Values of Trigonometric Ratios of angle 45 Degree |
Values of Trigonometric Ratios of angle 30-60 Degree |
Values of Trigonometric Ratios of angle 0-90 Degree |
Trigonometric Ratios of Complementary Angles |
Identities and Trigonometric Identities |
Problems |
Some Applications of Trigonometry |
Application of trigonometry, line of sight, angle of elevation, angle of depression |
Problems |
Circles |
Revision of Class IX |
Intersection of a line and a circle in a plane |
Theorem : Tangent to a Circle and Converse |
Number of Tangent from a point on a circle, theorem of Tangent from External Point |
Problems |
Constructions |
Problems based on Construction |
Area Related to Circle |
Perimeter and Area of Circle and its Problems |
Area of Sector and Segment of a Circle |
Problems |
Surface Area and Volumes |
Revision of Class IX |
Frustum of a Cone |
Area and volume of frustum |
Problems |
Statistics |
Mean of raw data, mean of ungrouped and grouped frequency distribution |
Mode of Grouped Data |
Median, median of ungrouped data |
Median of grouped frequency distribution |
Graphical representation of cumulative frequency distribution |
Problems |
Probability |
Probability, Sample Space, Sample Point, Random Experiments |
Event |
Probability Definition |
Problems |