Lessons


This section contains short lessons on various topics from the high school math curriculum. Most lessons are followed by solved examples related to the topics covered. I hope you find them easy to read.

Currently there are 107 lessons in total – covering coordinate geometry and combinatorics – with many many many more to come! Happy learning !

Coordinate Geometry Basics

There is geometry in the humming of the strings, there is music in the spacing of the spheres

1 Introduction 2 Distance Formula 3 Distance Formula: Examples 4 Section Formula
5 Section Formula: Applications 6 Section Formula: Examples 7 Area of Polygons 8 Area of Polygons: Examples
9 Locus: Introduction (Part 1) 10 Locus: Introduction (Part 2) 11 Locus: Equation (Part 1) 12 Locus: Equation (Part 2)
13 Locus: Examples 14 Translation of Axes 15 Rotation of Axes 16 Translation / Rotation: Examples

 

Straight Line

The straight line, a respectable optical illusion which ruins many a man

1 Introduction 2 Slope-Intercept Form: Part 1 3 Slope-Intercept Form: Part 2 4 Slope-Intercept Form: Examples
5 Intercept Form 6 Intercept Form : Examples 7 Point-Slope Form 8 Point-Slope Form: Examples
9 Two Point Form 10 Two Point Form: Examples 11 Normal Form 12 Normal Form: Examples
13 General Form 14 Comparison of Equations 15 Intersection and Concurrency 16 Slope of a Line
17 Angle Between Two Lines 18 Parallel and Perpendicular Lines 19 Angle Between Two Lines: Examples 20 Angle Between Two Lines: Examples
21 Distance of a point from a line 22 Distance of a point from a line: Examples 23 Distance between Parallel Lines 24 Distance between Parallel Lines: Examples
25 Parametric Form 26 Parametric Form: Examples 27 Parametric Form: Examples 28 Position of a Point
29 Position of a Point: Examples 30 Family of Lines 31 Family of Lines: Examples 32 Angle Bisectors
33 Angle Bisectors: Examples

 

Permutations & Combinations

Falsehood has an infinity of combinations, but truth has only one mode of being

1 Introduction 2 Fundamental Principle of Counting: Part 1 3 Fundamental Principle of Counting: Part 2 4 Fundamental Principle of Counting: Part 3
5 Fundamental Principle of Counting: Part 4 6 Fundamental Principle of Counting: Examples 7 Permutations 8 Permutations: Examples
9 Circular Permutations 10 Circular Permutations: Examples 11 Combinations: Part 1 12 Combinations: Part 2
13 Combinations: Part 3 14 Combinations: Examples 15 Combinations: Examples 16 Permutations with Identical Objects: Part 1
17 Permutations with Identical Objects: Part 2 18 Permutations with Identical Objects: Examples 19 Combinations with Identical Objects 20 All Possible Selections: Part 1
21 All Possible Selections: Part 2 22 All Possible Selections: Part 3 23 All Possible Selections: Examples 24 Divisors of a Number
25 Divisors of a Number: Examples 26 Division into Groups  

 

Circle

A circle is the reflection of eternity – it has no beginning and it has no end.

1 Introduction 2 Definition & Standard Equation 3 Equation: Part 1 4 Equation: Examples
5 Equations: Examples 6 Equation: Part 2 7 Equation: Examples 8 Parametric Equation
9 Position of a Point 10 Position of a Point: Examples 11 Intersection with a Line: Part 1 12 Intersection with a Line: Examples
13 Intersection with a Line: Part 2 14 Intersection with a Line: Examples 15 Tangent – Slope Form: Part 1 16 Tangent – Slope Form: Part 2
17 Tangent – Slope Form: Examples 18 Tangent – Point Form 19 Tangent – Point Form: Examples 20 Tangent from an External Point: Part 1
21 Tangent from an External Point: Part 2 22 Tangent from an External Point: Part 3 23 Tangent from an External Point: Examples 24 Normal: Definition
25 Normal: Equations 26 Normal: Examples 27 Normal – Shortest Distance: Part 1 28 Normal – Shortest Distance: Part 2
29 Normal – Shortest Distance: Examples 30 Two Circles – Relative Position 31 Two Circles – Relative Position: Examples 32 Two Circles – Number of Common Tangents

 

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