Mathematics

Algebra covers chapters such as Permutation and Combination, Quadratic Equations, Polynomials, Arithmetic Progressions, Linear Equations in Two Variables, Set Theory, Pair of Linear Equations in Two Variables and, Fundamentals of Mathematics

Algebra

Arithmetic

Geometry covers chapters such as Circles, Triangles, Quadrilaterals, Coordinate Geometry, Constructions, Heron's Formula, Lines and Angles, Surface Areas and Volumes, Introduction to Euclid's Geometry and, Areas Related to Circles

Geometry

Trigonometry covers chapters such as Introduction to Trigonometry and Some Applications of Trigonometry

Trigonometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

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Trigonometric Ratios of Complementary Angles

Applications of Euclid's Division Lemma

Exponents & Logarithms

Examples of Area of Triangles

Examples on Logarithms

Logarithm: Characteristic and Mantissa

Illustration on Trigonometric Ratio for Given Ratio

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

Verification: n(A∪B)=n(A)+n(B)-n(A∩B)

Complement of Set

Symmetric Difference of Sets

Difference of Sets

Distributive Law of Sets

Examples of De Morgan’s Law and Distributive Law

The Intersection in Set Operations

The Union in Set Operations

Venn Diagrams

Subsets and Equal Sets

Number of Elements in Sets

Universal Set and Subsets

Power Set of a Set

Equivalent Sets

Finite and Infinite Sets

Empty Set

Cardinality and Types of Sets

Notations for a Set

Volume of Frustum of a Cone

Tangents From an Exterior Point: Illustration

Tangent at a Point on Circle: Theorem

Tangent and Chord for Concentric Circles

Tangent as Perpendicular to Radius: Illustration

Tangent as Perpendicular to the Radius

Trigonometric Identities

Nature of the Roots: Illustration

Nature of the Roots: Illustration 1

Solution of Quadratic Equation: (a – b)^2 Type

Solution of Quadratic Equation: (a + b)^2 Type

Perfect Square Method to Solve Quadratic Equation

Factorisation Method: Example

Factorization Method

Factorisation Method

Division of a Trinomial by a Trinomial

Illustration Based on the SAS Criterion

Parallel & Transversal Lines: Illustration

Factorisation: (a³ + b³) and (a³ – b³)

Expansion of (a + b)^3

Expansion of (a + b + c)²

Perfect Square Polynomial: Illustration 3

Perfect Square Polynomial: Illustration 2

Perfect Square Polynomial: Illustration 1

Perfect Square Polynomial

Factorisation of Perfect Square Trinomial

Factorisation of Polynomials: Illustration 1

Application of the Remainder Theorem: Example 2

Application of the Remainder Theorem: Example 1

Factor Theorem: Illustration

Remainder Theorem and Factor Theorem

Dividing Polynomial by a Polynomial

Geometrical Meaning of the Zeroes of a Polynomial

Zeros of a Polynomial

Polynomial: Terms, Coefficient and Degree

Exponents and Surds

Fractions to Decimals and Decimals to Fractions

Irrational Numbers: Geometrical Representation

Non-terminating Non-recurring Decimals

Application of (a²-b²)

Introduction to Polynomials

Monomials, Binomials and Trinomials

Introduction to Circumference

Area of the Four Walls

Representing Rational Numbers on a Number Line

Numerator and Denominator of a Rational Number

Criteria for Congruence of Triangles

Triangle Inequality Theorem

Illustration on Solving the Equation

Solving a Linear Equation in One Variable

Practical Application of Equation and Its Solution

Closure and Commutative Properties of Real Numbers

Area of a Rectangle: Illustration

Drawing a Bar Graph

Interpretation of a Bar Graph

Basics of Bar Graph

Introduction to Data Handling

Organising Data and Frequency of Data

Basics of Data

Introduction to Quadrilaterals

HCF and LCM

Number Type and Its Factors

Prime and Composite Numbers

Integers : Introduction

Method of Partial Fractions

Coordinates of Centroid

Centroid - Meaning

Area of a Triangle (Coordinate Geometry)

Derivation of Distance Formula 2D

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

This chapter covers topics, such as The Mid-point Theorem, Properties of a Parallelogram, Types of Quadrilaterals & Angle Sum Property of a Quadrilateral etc.

Quadrilaterals

This chapter covers topics, such as Areas of Sector and Segment of a Circle, Perimeter and Area of a Circle & Areas of Combinations of Plane Figures etc.

Areas Related to Circles

This chapter covers topics, such as Common Roots, Introduction to Quadratic Equations, Solution of a Quadratic Equation & Nature of Roots etc.

Quadratic Equations

This chapter covers topics, such as Mean of Grouped Data, Median of Grouped Data, Graphical Representation of Data, Graphical Representation of Cumulative Frequency Distribution, Frequency Distribution Table, Presentation of Data, Collection of Data, Measures of Central Tendency & Mode of Grouped Data etc.

Statistics

This chapter covers topics, such as Basics of Sets, Subsets and Power Set, Types of Sets & Algebra of Sets etc.

Set Theory

This chapter covers topics & such as Heights and Distances etc.

Some Applications of Trigonometry

This chapter covers topics, such as Angle Sum Property of a Triangle, Pairs of Angles, Lines Parallel to the Same Line, Basic Terms for Angles between Lines, Intersecting Lines and Non-intersecting Lines & Parallel Lines and a Transversal etc.

Lines and Angles

This chapter covers topics, such as Special Points in a Triangle, Introduction to Coordinate Geometry, Section Formula, Distance Formula, Quadrilaterals & Area of a Triangle Formula etc.

Coordinate Geometry

This chapter covers topics, such as Triangles on the Same Base and between the Same Parallels, Parallelograms on the Same Base and between the Same Parallels & Understanding Area of Plane Figures etc.

Area of Parallelogram and Triangles

This chapter covers topics, such as nth Term of an AP, Introduction to Arithmetic Progressions, Sum of First n Terms of an AP & Number Patterns etc.

Arithmetic Progressions

This chapter covers topics, such as Euclid's Definitions, Axioms and Postulates & Equivalent Versions of Euclid's Fifth Postulate etc.

Introduction to Euclid's Geometry

This chapter covers topics, such as Surface Area of a Cuboid and a Cube, Volume of a Combination of Solids, Surface Area of a Right Circular Cone, Surface Area of a Combination of Solids, Surface Area of a Sphere, Frustum of a Pyramid, Solid Shapes, Volume of a Cuboid, Volume of a Sphere, Volume of a Cylinder, Conversion of Solid from One Shape to Another, Surface Area of a Right Circular Cylinder, Volume of a Right Circular Cone & Frustum of a Cone etc.

Surface Areas and Volumes

This chapter covers topics, such as Inequalities in a Triangle, Similar Figures, RHS and SSS Criteria for Congruence, Similarity of Triangles, Criteria for Similarity of Triangles, Areas of Similar Triangles, Congruence of Triangles, Angle Bisector Theorem, Pythagoras Theorem, Properties of a Triangle & Criteria for Congruence of Triangles etc.

Triangles

This chapter covers topics, such as Basic Constructions, Division of a Line Segment, Construction of a Triangle, Constructions of Triangles & Construction of Tangents to a Circle etc.

Constructions

This chapter covers topics, such as Algebraic Methods of Solving a Pair of Linear Equations, Introduction to Pair of Linear Equations in Two Variables, Graphical Method of Solution of a Pair of Linear Equations & Equations Reducible to a Pair of Linear Equations in Two Variables etc.

Pair of Linear Equations in Two Variables

This chapter covers topics, such as Tangent to a Circle, Angle Subtended by an Arc of a Circle, Angle Subtended by a Chord at a Point, Circles and its Related Terms, Perpendicular from the Centre to a Chord, Equal Chords and their Distances from the Centre, Number of Tangents from a Point on a Circle, Circle through Three Points, Cyclic Quadrilaterals & Intersection between Circle and Line etc.

Circles

This chapter covers topics, such as Geometrical Meaning of the Zeros of a Polynomial, Relationship between Zeros and Coefficients of a Polynomial, Remainder Theorem, Zeros of a Polynomial, Polynomials in One Variable, Algebraic Identities, Factorisation of Polynomials, Basics of Polynomials & Division Algorithm for Polynomials etc.

Polynomials

This chapter covers topics, such as Exponents and Surds, Operations on Real Numbers, Variation, Logarithmic Series, Real Numbers and their Decimal Expansions, Exponential Series, Basic Number Systems, Irrational Numbers, Algebraic Inequalities, Partial Fractions & Ratio and Proportion etc.

Fundamentals of Mathematics

This chapter covers topics, such as Basics of Logarithm, Properties of Logarithms & Logarithmic Equations and Inequalities etc.

Logarithm and its Applications

This chapter covers topics, such as Linear Equations, Graph of a Linear Equation in Two Variables, Equations of Lines Parallel to x-axis and y-axis & Solution of a Linear Equation etc.

Linear Equations in Two Variables

This chapter covers topics, such as Trigonometric Ratios of Complementary Angles, Trigonometric Ratios, Trigonometric Identities & Trigonometric Ratios of Some Specific Angles etc.

Introduction to Trigonometry

This chapter covers topics, such as Probability - A Theoretical Approach & Probability - an Experimental Approach etc.

Probability

This chapter covers topics, such as Euclid's Division Lemma, The Fundamental Theorem of Arithmetic, Irrational Numbers, HCF and LCM & Rational Numbers and Their Decimal Expansions etc.

Real Numbers

This chapter covers topics, such as Area of Quadrilateral Using Heron's Formula, Area of Triangle Using Base and Height & Area of Triangle Using Heron's Formula etc.

Heron's Formula

This chapter covers topics, such as Circular Permutation, Permutation, Fundamental Principles of Counting, Division and Distribution of Objects, Combination & Inclusion-Exclusion Principle etc.

Permutation and Combination

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