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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.

Sections

  • 8

    Coordinate Geometry

    Coordinate Geometry studies geometry using a coordinate system to locate points on a plane.

    Learning Practice

  • 8.1

    Introduction To Coordinate Geometry

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

    Learning Practice

  • 8.2

    Cartesian Plane

    The Cartesian Plane consists of two perpendicular axes, the X-axis and Y-axis, intersecting at the Origin, used for locating points with ordered pairs.

    Learning Practice

  • 8.3

    Coordinates Of A Point

    The section explains how any point in the Cartesian plane can be represented by ordered pairs (x,y), detailing the significance of the x (abscissa) and y (ordinate) coordinates.

    Learning Practice

  • 8.4

    Plotting Points

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

    Learning Practice

  • 8.5

    Distance Formula

    The Distance Formula calculates the distance between two points in a Cartesian plane using their coordinates.

    Learning Practice

  • 8.6

    Midpoint Formula

    The Midpoint Formula calculates the midpoint of a line segment defined by two given points in a coordinate system.

    Learning Practice

  • 8.7

    Section Formula

    The section formula allows us to determine the coordinates of a point that divides the line segment between two points in a specified ratio.

    Learning Practice

  • 8.8

    Applications Of Coordinate Geometry

    Coordinate geometry is applied to find distances, midpoints, and divisions of line segments, allowing for the resolution of geometric problems using algebraic methods.

    Learning Practice

References

m9-8.pdf

Class Notes

Memorization

What we have learnt

  • Coordinate Geometry aids in...
  • The Distance Formula is use...
  • The Midpoint Formula finds ...

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