ICSE 9 Mathematics | 8. Coordinate Geometry by Pavan | Learn Smarter
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8. Coordinate Geometry

8. Coordinate Geometry

Coordinate Geometry combines algebra and geometry, allowing for the representation and location of points in a plane using coordinate pairs. Key formulas such as the Distance Formula, Midpoint Formula, and Section Formula are fundamental to solving geometric problems through algebraic methods and applications, enabling precise calculations of distances and mid-points.

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Sections

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  1. 8
    Coordinate Geometry

    Coordinate Geometry studies geometry using a coordinate system to locate...

  2. 8.1
    Introduction To Coordinate Geometry

    Coordinate Geometry uses a coordinate system to locate points in a plane...

  3. 8.2
    Cartesian Plane

    The Cartesian Plane consists of two perpendicular axes, the X-axis and...

  4. 8.3
    Coordinates Of A Point

    The section explains how any point in the Cartesian plane can be represented...

  5. 8.4
    Plotting Points

    This section describes the process of plotting points on a Cartesian plane...

  6. 8.5
    Distance Formula

    The Distance Formula calculates the distance between two points in a...

  7. 8.6
    Midpoint Formula

    The Midpoint Formula calculates the midpoint of a line segment defined by...

  8. 8.7
    Section Formula

    The section formula allows us to determine the coordinates of a point that...

  9. 8.8
    Applications Of Coordinate Geometry

    Coordinate geometry is applied to find distances, midpoints, and divisions...

What we have learnt

  • Coordinate Geometry aids in locating points in a plane.
  • The Distance Formula is used for calculating the distance between two points.
  • The Midpoint Formula finds the exact center between two points.

Key Concepts

-- Coordinate Geometry
The study of geometry using a coordinate system to locate points on a plane.
-- Distance Formula
A formula that calculates the distance between two points, defined as d = √((x2 - x1)² + (y2 - y1)²).
-- Midpoint Formula
A formula used to find the midpoint of a line segment, defined as M = ((x1 + x2)/2, (y1 + y2)/2).
-- Section Formula
Used to determine the coordinates of a point that divides a line segment into a given ratio.

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