ICSE Class 11 Maths | 3. Coordinate Geometry by Pavan | Learn Smarter
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3. Coordinate Geometry

The chapter focuses on the Cartesian coordinate system and various fundamental concepts of coordinate geometry, including point representation, distance calculations, midpoint determination, the section formula, and area calculation of triangles in a plane. These concepts are essential for understanding how to use algebraic methods to solve geometric problems effectively.

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Sections

  • 3

    Coordinate Geometry

    This section explores the fundamentals of coordinate geometry, focusing on the Cartesian coordinate system and how points, distances, midpoints, and areas of triangles are represented and calculated using algebraic methods.

  • 3.1

    Introduction

    This section introduces the Cartesian coordinate system and the basics of coordinate geometry by representing points in a plane with ordered pairs.

  • 3.2

    Cartesian Coordinate System

    The Cartesian coordinate system comprises two perpendicular axes that intersect at the origin, enabling us to represent points in a plane using ordered pairs.

  • 3.3

    Coordinates Of A Point

    This section introduces the representation of points in a plane as ordered pairs of numbers, highlighting their meaning in the Cartesian coordinate system.

  • 3.4

    Distance Between Two Points

    This section covers the distance between two points in a Cartesian coordinate system using the distance formula.

  • 3.5

    Midpoint Of A Line Segment

    The midpoint of a line segment between two points is found by averaging their coordinates.

  • 3.6

    Section Formula

    The section formula defines the coordinates of a point that divides a line segment internally or externally in a given ratio.

  • 3.7

    Area Of A Triangle

    The section discusses how to calculate the area of a triangle formed by three given points using a determinant formula.

References

m11-3.pdf

Class Notes

Memorization

What we have learnt

  • The Cartesian coordinate sy...
  • The distance between two po...
  • The midpoint and section fo...

Final Test

Revision Tests