Mathematics

Mathematics - Xth Grade covers chapters such as Time and Work, Circles, Triangles, Polynomials, Quadrilaterals, Pair of Linear Equations in Two Variables, Lines and Angles, Surface Areas and Volumes and, Comparing Quantities

Mathematics - Xth Grade

Algebra covers chapters such as Permutation and Combination, Sequence and Series, Theory of Equation, Fundamentals of Mathematics and, Logarithm and its Applications

Algebra

Trigonometry covers chapters such as Properties of Triangle, Heights and Distances and, Trigonometric Ratios and Identities

Trigonometry

Coordinate Geometry contains chapter Straight Line

Coordinate Geometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

Practice Book for KVPY Aptitude Test - Stream SA Mathematics

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates

Plane Trigonometry Part 1

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Vectors and 3D Geometry JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Calculus JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced

Problem Primer for the Olympiad

Understanding ISC Mathematics Class 11 Volume 2

Understanding ISC Mathematics Class 11 Volume 1

Golden MATHEMATICS CLASS 11

Mathematics Textbook for Class 11

Graphing Quadratic Function: Standard Form

Graphing Quadratic Function: Vertex Form

Using Algebraic Expressions-Formulas

Mean of Grouped Data: Example

Problem Based on Midpoint Theorem

Converse of Midpoint Theorem

Proof of Midpoint Theorem

Midpoint Theorem

Meaning of Profit & Loss

Examples on Profit and Loss

Factorisation Using Difference of Two Squares

Base of Logarithm

Examples on Logarithms

Working Rules for Logarithms

Logarithm: Characteristic and Mantissa

n- Geometric Means Between Two Numbers

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

Finding N Arithmetic Means Between Two Numbers

Arithmetic Mean

Roots of Quadratic Equation: Illustration

Convert Degree Into Radian & Radian Into Degree

Relation Between Radian and Degree

Systems for Measurement of Angles

Tangent at a Point on Circle: Theorem

Nature of the Roots: Illustration 1

Perfect Square Method to Solve Quadratic Equation

Division of a Trinomial by a Trinomial

Illustration Based on the SAS Criterion

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

Remainder Theorem and Factor Theorem

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

Introduction to Polynomials

Area of a Circle

Introduction to Circumference

Difference Between Simple and Compound Interest

Simple and Compound Interest

Profit or Loss as a Percentage

Conversion of Percentages

Converting Percentage Into Fraction

How to Calculate X% of Some Amount 

What Are Transversal Lines?

Understanding Linear Pair of Angles

Proportion

IlLustration on Probability of Events

Addition Theorem

Axiomatic Definition of Probability

Mutually Exclusive Events

Types of Events

Application of Probability Tree

Sample Space

Locus

Coordinates of Centroid

Centroid - Meaning

Section Formula

Derivation of Distance Formula 2D

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

History of Coordinate Geometry

Sum of First n Natural Numbers

Sigma Notation For Sum of a Constant Upto n Times

Arithmetic Mean & Geometric Mean: Illustration

Introduction to Geometric Mean

Sum of n Terms of a GP When nᵗʰ Term is Given

Sum of First n Terms of a Geometric Progression

Sum of First n Terms of an Arithmetic Progression

Finding the nth Term of A.P. With Given Two Terms

Arithmetic Progression: Illustrations

Arithmetic Progression

Introduction to Bounded Sequence

Finding nth Term When Sum of n Terms Is Given!

Definition of Series, Sum & nᵗʰ Term

Finding Terms of a Sequence

Definition of Sequence

Problems on Combinations

Properties Related to Combination

Applications of Combination

Selection of 'r' Objects Out of 'n' Distinct Objects

Introduction to Combination

Arrangement of Words in the Form of Dictionary

Permutation When Repetition of Objects Is Allowed

Introduction to Factorial Notation

Problems Based on Permutations

Explanation of Permutation

This chapter covers topics such as Range of Trigonometric Expressions, Trigonometric Identities, Trigonometric Functions and Properties, Trigonometric Series, Basics of Trigonometry, and Conditional Identities.

Trigonometric Ratios and Identities

This chapter covers topics such as Distances of the Centres of a Triangle from Its Vertices and Sides, Excentral Triangle and Pedal Triangle, Inradius, Exradii and Circumradius, Half-Angle Formula and the Area of a Triangle, etc.

Properties of Triangle

This chapter covers the topic of Heights and Distances.

Heights and Distances

This chapter covers topics such as Measures of Central Tendency, Measures of Skewness, Measures of Dispersion, Basics of Statistics, and Correlation and Covariance.

Statistics

This chapter covers topics such as Bernoulli Trials and Binomial Distribution, Conditional Probability, Basics of Probability, Probability Distribution of a Random Variate, Algebra of Probability, Total Probability and Bayes' Theorem, etc.

Probability

This chapter covers topics such as Basics of 2D Coordinate Geometry, Equation of a Straight Line in Various Forms, Family of Straight Lines, Angle Bisectors, Straight Line and a Point, Interaction between Two Straight Lines, etc.

Straight Line

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

Area of Parallelogram and Triangles

This chapter covers topics such as the Mid-point Theorem, Types of Quadrilaterals, and Properties of a Parallelogram.

Quadrilaterals

This chapter covers topics such as Congruence of Triangles, Angle Bisector Theorem, Properties of a Triangle, Pythagoras Theorem, Inequalities in a Triangle, and Similarity of Triangles.

Triangles

This chapter covers topics such as Parallel Lines and a Transversal and Pairs of Angles.

Lines and Angles

This chapter covers topics such as Conversion of Solid from One Shape to Another, Surface Area of a Combination of Solids, Volume of Solid Shapes, Surface Area of Solid Shapes, and Volume of a Combination of Solids.

Surface Areas and Volumes

This chapter covers topics such as Theorems Related to Circle and Cyclic Quadrilaterals.

Circles

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

Areas Related to Circles

This chapter covers topics such as Clock concepts, Pipes and Cisterns, Work, Time, and Speed and Distance.

Time and Work

This chapter covers topics such as Profit and Loss, Compound Interest, Discounts, Percentage, Mixture and Alligation, Simple Interest, and Partnership.

Comparing Quantities

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

Polynomials

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

Pair of Linear Equations in Two Variables

This chapter covers topics such as Common Roots, Algebraic Equations of Higher Degree, Algebraic Expressions, Equations and Identities, Quadratic Equation and its Solutions, Nature of Roots, Location of Roots, etc.

Theory of Equation

This chapter covers topics such as A.M., G.M., H.M. and Their Relations, Geometric Progression, Miscellaneous Series, Arithmetico-Geometric Progression, Basics of Sequence and Series, Harmonic Progression, and Arithmetic Progression.

Sequence and Series

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

Permutation and Combination

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

Logarithm and its Applications

This chapter covers topics such as Number System, Variation, Algebraic Inequalities, Exponential Series, Ratio and Proportion, Logarithmic Series, Partial Fractions, and Surds and Indices.

Fundamentals of Mathematics

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