Co-ordinate Geometry
ICSE · Class 9 · Mathematics
Quick revision notes for Co-ordinate Geometry — ICSE Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Introduction to Co-ordinate Geometry
- Co-ordinate geometry uses coordinates to represent position of points with respect to two perpendicular number lines
- It connects algebra (equations) with geometry (shapes and positions)
- Essential for solving problems involving distance, position, and relationships between points
Variables - Dependent and Independent
- In linear equations like y = mx + c, x is independent variable and y is dependent variable
- If equation is written as x = ay + b, then x is dependent and y is independent
- The subject of the formula determines which variable is dependent
Ordered Pairs
- Ordered pair is a pair of numbers written in specific order, separated by comma, enclosed in brackets
- Order matters: (5,7) ≠ (7,5)
- First component is called first element, second component is called second element
Cartesian Plane and Coordinate System
- Cartesian plane consists of two mutually perpendicular number lines intersecting at origin
- Horizontal line is x-axis, vertical line is y-axis
- Origin O is the intersection point with coordinates (0,0)
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