Coordinate Geometry Basics


1

Introduction

An introduction to coordinate geometry and the Cartesian coordinate system.

2

Distance Formula

Derivation of the distance formula.

3

Distance Formula: Examples

A few examples involving distance formula.

4

Section Formula

Derivation of the section formula.

5

Section Formula: Applications

A few applications of the section formula.

6

Section Formula: Examples

A few simple examples involving the section formula.

7

Area of polygons

Derivation of the formula for computing the area of a polygon in the Cartesian coordinate system

8

Area of polygons: Examples

A few simple examples involving area of triangles and polygons.

9

Locus: Introduction (Part 1)

An introduction to locus of a point.

10

Locus: Introduction (Part 2)

An introduction to locus of a point.

11

Locus: Equation (Part 1)

Equation to a locus, and equation of a curve in general.

12

Locus: Equation (Part 2)

Equation to a locus, and equation of a curve in general.

13

Locus: Examples

A few simple examples involving locus of a point

14

Translation of Axes

Translation of Axes or Shifting of Origin.

15

Rotation of Axes

Rotation of axes in the Cartesian plane.

16

Translation / Rotation : Examples

Examples relating to translation and rotation of the coordinate axes.

Cheat Sheet

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