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Coordinates of Points Calculator (Externally/ Internally)

Coordinates of Points Calculator finds the dividing line segments (ratios of directed line segments). It finds the coordinates using partitioning a line segment. The Coordinates of points is determined a pair of numbers defining the position of a point that defines its exact location on a two-dimensional plane.

Coordinates of Points Calculator (Externally and Internally) X1: Y1:

Table of Contents:

    Formula

    Section or Ratio Externally
    (mx2-nx1/m-n , my2-ny1/m-n)

    Section or Ratio Internally
    (mx2+nx1/m+n , my2+ny1/m+n)

    Partition calculator

    Using partition calculator - Ratio formula or section formula is used to find the coordinates of a point P which divides the segment joining the points A and B internally or externally in the ratio m : n.
    Case 1: Find the coordinates of the point which divides the line joining the points (2, 3), (4, 5) internally in the ratio 2:1.
    x1 = 2, y1 = 3 and
    x2 = 4, y2 = 5
    m = 2, n = 1

     

    Apply Formula
    (mx2+nx1/m+n , my2+ny1/m+n)
    (2*4+1*2/2+1 , 2*5+1*3/2+1)
    (8+2/3 , 10+3/3 )
    (10/3 , 13/3)
    (3.3  , 4.3)

    Case 2: Find the coordinates of the point which divides the line joining the points (2, 1), (3, 4) externally in the ratio 2:5.
    x1 = 2, y1 = 1 and
    x2 = 3, y2 = 4
    m = 2, n = 5

    Apply formula
    (mx2-nx1/m-n  , my2-ny1/m-n)
    (2*3-5*2/2-5 , 2*4-5*1/2-5)
    (6-10/-3  , 8-5/-3)
    (-4/-3 , 3/-3)
    (4/3 , -1)