Q) P(–2, 5) and Q(3, 2) are two points. Find the coordinates of the point R on line segment PQ such that PR = 2QR.

Ans:

Step 1: Given that point point R divides line PQ, so that PR = 2 QR

therefore, Point R divides the lines PQ in ratio of 2: 1

Step 2:  By section formula, coordinates of point P (X, Y), which divides line made by two points (x₁, y₁), (x₂, y₂) in ratio of m: n, are given by:

P (X,Y) =

Now we have, X₁ = – 2, Y₁ = 5, X₂ = 3, Y₂ = 2, m₁= 2 and m₂ = 1

∴ Coordinate X of point R =

∴ X =

∴ X =

Similarly, Coordinate Y of point R =

∴ Y =

∴ Y =

∴ Y = 3

Therefore, the coordinates of point R are (, 3).

Please press the “Heart”, if you liked the solution.