Skip to main content
Super TutorResources
Chapter 5 of 8
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Revision Notes

Coordinate Geometry

Tamil Nadu Board · Class 10 · Mathematics

Quick revision notes for Coordinate Geometry — Tamil Nadu Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions25 flashcards5 concepts

Interactive on Super Tutor

Studying Coordinate Geometry? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

1,000+ Class 10 students started this chapter today

A 3D diagram showing three points A, B, and C that lie on the same straight line, illustrating the concept of collinearity.
Super Tutor

Super Tutor has 8+ illustrations like this for Coordinate Geometry alone — flashcards, concept maps, and step-by-step visuals.

See them all

Key Topics to Revise

1

1. Area of Triangle Using Coordinates

  • Area formula when three vertices are known: Area = ½|{(x₁y₂ + x₂y₃ + x₃y₁) - (x₂y₁ + x₃y₂ + x₁y₃)}|
  • Vertices must be taken in counter-clockwise order to avoid negative areas
  • Three collinear points always form a triangle with area = 0
2

2. Collinearity Test Using Slope and Area

  • Method 1: Three points are collinear if area of triangle = 0
  • Method 2: Three points A(x₁,y₁), B(x₂,y₂), C(x₃,y₃) are collinear if x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂) = 0
  • Method 3: Points are collinear if slope of AB = slope of BC = slope of AC
3

3. Area of Quadrilateral Using Coordinates

  • Quadrilateral area = Area of △1 + Area of △2 (divide using diagonal)
  • Standard formula: Area = ½|{(x₁y₂ + x₂y₃ + x₃y₄ + x₄y₁) - (x₂y₁ + x₃y₂ + x₄y₃ + x₁y₄)}|
  • Take vertices in counter-clockwise order for consistency
4

4. Slope of a Line and Its Properties

  • Slope m = tan(θ) where θ is angle with positive x-axis (inclination)
  • Slope formula: m = (y₂-y₁)/(x₂-x₁) for points (x₁,y₁) and (x₂,y₂)
  • Slope = 0 for horizontal lines (parallel to x-axis)

Get complete notes with diagrams and examples

Full Notes

Key Concepts

The distance between two points A(x₁For a triangle with vertices atThree distinct points A(x₁For a quadrilateral with vertices A(x₁The slope (gradient) m of

Frequently Asked Questions

What are the important topics in Coordinate Geometry for Tamil Nadu Board Class 10 Mathematics?
Key topics in Coordinate Geometry include Decision Tree for Choosing the Right Line Equation Form, Step-by-step process for calculating distance between two points, Overview of line segment division formulas and their properties. These are the concepts Tamil Nadu Board Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Coordinate Geometry — Tamil Nadu Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Coordinate Geometry

All 8 chapters — Tamil Nadu Board Class 10 Mathematics Revision Notes

For serious students

Get the full Coordinate Geometry chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Tamil Nadu Board Class 10 Mathematics.

Try Super Tutor Free
Try the full chapter — Free