Geometry And Algebra — Formula Sheet
Kerala Board · Class 10 · Mathematics
4 formulas from Geometry And Algebra (Kerala Board Class 10 Mathematics) on one page, grouped by topic. Covers Parallelograms in Coordinate Geometry.
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Formulas and Key Relations
Parallelograms in Coordinate Geometry
In a parallelogram ABCD, if A(x₁,y₁), B(x₂,y₂), C(x₃,y₃) are given, then D = (x₁ + x₃ - x₂, y₁ + y₃ - y₂)
Key relations
For any two points A(x₁, y₁) and B(x₂, y₂), the midpoint M is given by: M = ((x₁ + x₂)/2, (y₁ + y₂)/2).
When a point P divides the line joining A(x₁, y₁) and B(x₂, y₂) in the ratio m:n internally, then P = ((nx₁ + mx₂)/(m+n), (ny₁ + my₂)/(m+n)).
For two points A(x₁, y₁) and B(x₂, y₂), slope m = (y₂ - y₁)/(x₂ - x₁).
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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