Coordinate Geometry — Formula Sheet
Tamil Nadu Board · Class 9 · Mathematics
5 formulas from Coordinate Geometry (Tamil Nadu Board Class 9 Mathematics) on one page, grouped by topic. Covers The Cartesian Coordinate System, Distance.
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Formulas and Key Relations
Mid-Point Formula
The x-coordinate of M = average of x-coordinates = (x₁ + x₂)/2.
The y-coordinate of M = average of y-coordinates = (y₁ + y₂)/2.
Section Formula
When m = n = 1, the section formula reduces to the mid-point formula.
Key relations
The distance d between two points P(x₁,y₁) and Q(x₂,y₂) is calculated using the formula: d = √[(x₂-x₁)² + (y₂-y₁)²].
The midpoint M of a line segment joining points A(x₁,y₁) and B(x₂,y₂) is M = ((x₁+x₂)/2, (y₁+y₂)/2).
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