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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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References
m11-3.pdfClass Notes
Memorization
What we have learnt
Final Test
Revision Tests
Term: Cartesian Coordinate System
Definition: A system that uses two perpendicular axes to define the position of points in a 2-dimensional space.
Term: Distance Formula
Definition: A formula used to find the distance between two points in the Cartesian plane, given by β((x2-x1)Β² + (y2-y1)Β²).
Term: Midpoint Formula
Definition: A formula used to find the midpoint of a line segment between two points, calculated as ((x1+x2)/2, (y1+y2)/2).
Term: Section Formula
Definition: A formula that determines the coordinates of a point dividing a segment in a specific ratio.
Term: Area of a Triangle
Definition: The area can be computed using a formula involving the coordinates of its vertices, typically using determinants.