Coordinate Geometry
Telangana Board · Class 10 · Mathematics
Quick revision notes for Coordinate Geometry — Telangana Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Distance Between Two Points
- Distance between points on X-axis: |x₂ - x₁|
- Distance between points on Y-axis: |y₂ - y₁|
- Distance from origin to point P(x,y) is √(x² + y²)
Section Formula
- Section formula finds coordinates of point dividing line segment in given ratio
- Internal division: point lies between the two given points
- Midpoint is special case when ratio is 1:1
Centroid of a Triangle
- Centroid is point of concurrency of medians
- Divides each median in ratio 2:1
- Always lies inside the triangle
Area of Triangle
- Area can be calculated using coordinates of vertices
- Formula gives area in terms of coordinates only
- Always take absolute value to ensure positive area
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