Mathematics X

Real Numbers
4 Topics
Euclid’s Division Lemma and Eulcid’s Division Algorithm
Fundamental Theorem of Arithmetic
Irrational Numbers
Decimal Expansion of Rational Numbers
Polynomials
5 Topics
Degree of a Polynomial
Value and Zeroes of a Polynomial
Geometrical Meaning of Zeroes of a Polynomial
Relationship between Zeroes and Coefficients of a Polynomial
Division Algorithm for Polynomials
Pair of Linear Equations in Two Variables
7 Topics
Introduction to Linear Equations in 2 Variables
Graphical Method of Solving Linear Equations
Substitution Method of Solving Linear Equations
Elimination Method of Solving linear Equations
Cross Multiplication Method of Solving Linear Equations
Equations Reducible to a Pair of Linear Equations in 2 Variables
Word Problems Based on Simultaneous linear Equations
Quadratic Equations
 7 Topics
Introduction to Quadratic Equations
Representing Situations in the Form of a Quadratic Equation
Solution of a Quadratic Equation by Factorisation
Solution of a Quadratic Equation by Completing the Square
Derivation of Quadratic Formula
Using Quadratic Formula
Nature of Roots
Arithmetic Progressions
 6 Topics
Introduction to Arithmetic Progressions
nth Term of an AP
Examples (nth Term of an AP)
Sum of First n Terms of an AP
Examples-I (Sum of First n Terms of an AP)
Examples-II (Sum of First n Terms of an AP)
Triangles
 9 Topics
Introduction to Similar Figures
Basic Proportionality Theorem
Converse of Basic Proportionality Theorem
AAA Similarity Criterion
SSS Similarity Criterion
SAS Similarity Criteria
Ratio of Areas of Two Similar Triangles
Problems based on Ratio of Areas of Similar Triangles
Pythagoras Theorem
Coordinate Geometry
 5 Topics
Introduction to Coordinate Geometry and Distance Formula
Deriving Section Formula
Applications of Section Formula
Deriving the Formula for Area of Triangle
Applications of Area of Triangle
Introduction to Trigonometry
 10 Topics
Introduction to Trigonometry
Introduction to Trigonometric Ratios
Trigonometric Ratios of 45°
Trigonometric Ratios of 30°
Trigonometric Ratios of 60°
Trigonometric Ratios of 0°
Trigonometric Ratios of 90°
Trigonometric Ratios of Complementary Angles
Deriving Trigonometric Identities
Proving Trigonometric Identities
Some Application of Trigonometry
 2 Topics
Introduction of Heights and Distances
Applications of Trigonometry
Circles
 5 Topics
Introduction to Circles
Tangent to a Circle
Number of Tangents from a Point on a Circle
Length of Tangents from a Point on a Circle
Examples Related to theTangent to a Circle
Constructions
 3 Topics
Dividing a Line Segment in a Given Ratio
Constructing a Triangle Similar to a Given Triangle as Per Given Scale Factor
Construction of Tangents to a Circle
Areas Related to Circles
 3 Topics
Introduction to Areas Related to Circles
Areas of Sector and Segment of a Circle
Areas of Combinations of Plane Figures
Surface Areas and Volumes
 8 Topics
Introduction to Combination of Solids
Surface Area of Combination of Solids
Volume of Combination of Solids
Conversion of Solid from One Shape to Another
Examples Related to Conversion of Solids
Introduction To Frustum
Surface Area of Frustum of a Cone
Volume of Frustum of a Cone
Statistics
 8 Topics
Mean using the Direct Method
Mean using the Assumed Mean Method
Mean using the Step Deviation Method
Mode of Grouped Data
Median of Grouped Data
Relation between Mean, Median and Mode
Graphical Representation of Cumulative Frequency Distribution-Less than Ogive
Graphical Representation of Cumulative Frequency Distribution-More than Ogive
Probability
 9 Topics
Introduction To Probability
Probability: Cases of Numbers
Probability: Cases of Flipping One or Two Coins
Probability: Cases of Flipping Three Coins
Probability: Cases of Playing Cards
Probability: Case of a Single Dice
Probability: Case of 2 Dices
Probability in Daily Life
Results on Probability
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Euclid’s Division Lemma and Eulcid’s Division Algorithm

Mathematics X Real Numbers Euclid’s Division Lemma and Eulcid’s Division Algorithm
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