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Coordinate Geometry

Tamil Nadu Board · Class 9 · Mathematics

Complete topic list for Coordinate Geometry in Tamil Nadu Board Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions25 flashcards5 concepts

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A labeled diagram showing the x-axis, y-axis, origin, and a point (x, y) in the first quadrant, illustrating the basic setup of a Cartesian coordinate system.
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4 Topics · Tamil Nadu Board Class 9 Mathematics

Topics in Coordinate Geometry

1

The Cartesian Coordinate System

  • The Cartesian plane is formed by two number lines – the horizontal x-axis and the vertical y-axis – intersecting at right angles at a point called the Origin O(0,0).
  • Every point on the plane is represented by an ordered pair (x, y), where x is called the abscissa (x-coordinate) and y is called the ordinate (y-coordinate).
  • The order matters: (x, y) ≠ (y, x) unless x = y.
2

Distance Formula

  • The distance between two points P(x₁, y₁) and Q(x₂, y₂) is derived using the Pythagoras theorem.
  • A right triangle PQR is formed where PR is horizontal and RQ is vertical.
  • PR = |x₂ − x₁| and RQ = |y₂ − y₁|.
3

Mid-Point Formula

  • The mid-point M of a line segment joining A(x₁, y₁) and B(x₂, y₂) is the average of the coordinates.
  • The x-coordinate of M = average of x-coordinates = (x₁ + x₂)/2.
  • The y-coordinate of M = average of y-coordinates = (y₁ + y₂)/2.
4

Section Formula

  • The section formula gives the coordinates of a point P that divides the line segment joining A(x₁,y₁) and B(x₂,y₂) internally in the ratio m:n.
  • The formula is derived using similar triangles.
  • When m = n = 1, the section formula reduces to the mid-point formula.

Key Concepts

A coordinate system consists of twoTo plot a point (xThe distance d between two pointsThe midpoint M of a lineWhen a point P divides

Frequently Asked Questions

What are the important topics in Coordinate Geometry for Tamil Nadu Board Class 9 Mathematics?
Key topics in Coordinate Geometry include Coordinate Geometry – Chapter Overview Mind Map, Coordinate Geometry – Complete Chapter Overview, Coordinate Geometry - Concept Overview. These are the concepts Tamil Nadu Board Class 9 examiners draw on most — study them first, then practise related questions.
How to score full marks in Coordinate Geometry — Tamil Nadu Board Class 9 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.

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