Lessons

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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 135 lessons (and mini-lessons) in total, 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 of Identical Objects: Part 1
17 Permutations of Identical Objects: Part 2	18 Permutations of Identical Objects: Examples	19 Combinations of 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: Part 1	27 Division into Groups: Part 2	28 Division into Groups: Examples (Coming Soon)

	Circle A circle is the reflection of eternity – it has no beginning and it has no end.
1 Definition and Standard Equation	2 Equation: Part 1	3 Equation: Examples	4 Equations: Examples
5 Equation: Part 2	6 Equation: Examples	7 Parametric Equation	8 Position of a Point
9 Position of a Point: Examples	10 Intersection with a Line: Part 1	11 Intersection with a Line: Examples	12 Intersection with a Line: Part 2
13 Intersection with a Line: Examples	14 Tangent – Slope Form: Part 1	15 Tangent – Slope Form: Part 2	16 Tangent – Slope Form: Examples
17 Tangent – Point Form	18 Tangent – Point Form: Examples	19 Tangent from an External Point: Part 1	20 Tangent from an External Point: Part 2
21 Tangent from an External Point: Part 3	22 Tangent from an External Point: Examples	23 Normal: Definition	24 Normal: Equations
25 Normal: Examples	26 Normal – Shortest Distance: Part 1	27 Normal – Shortest Distance: Part 2	28 Normal – Shortest Distance: Examples
29 Two Circles – Relative Position	30 Two Circles – Relative Position: Examples	31 Two Circles – Number of Common Tangents	32 Two Circles – Equations of Common Tangents
33 Two Circles – Equations of Common Tangents: Examples	34 Two Circles – Radical Axis (Coming Soon)

	Quadratic Equations A mathematical equation stands forever.
1 Introduction	2 Definition & Solution	3 Solution: Examples	4 Reducible to Quadratic (Part 1)
5 Reducible to Quadratic (Part 2) (Coming Soon)

 

	Modulus There is no such source of error as the pursuit of absolute truth.
1 Introduction	2 Examples	3 Equations (Part 1)	4 Equations (Part 2)
5 Equations (Part 3)	6 Equations (Part 4)	7 Equations: Examples	8 Inequalities (Part 1)
9 Inequalities (Part 2)	10 Inequalities (Part 3)	11 Graph (Part 1)	12 Graph (Part 2)

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