Geometry
Class 10

Section Formula

(mx2+nx1m+n,my2+ny1m+n)\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)
024681000.511.522.533.54
((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))

Adjust Variables

Ratio m
m =
110
Ratio n
n =
110

Coordinates of point dividing line segment joining (x₁,y₁) and (x₂,y₂) in ratio m:n internally.

Real-World Applications

Computer graphics — Linear interpolation for animation.

GPS — Finding a point along a route at a specific fraction.

Engineering — Centroid calculations in structural design.

Cartography — Placing markers at specific fractions of paths.

Gaming — Smooth character movement interpolation.

Physics — Center of mass for two-body systems.

Architecture — Dividing spaces proportionally.

Urban planning — Placing facilities to serve regions proportionally.

Finance — Weighted average calculations.

Image processing — Pixel interpolation for scaling.

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