Consider a line segment with end points and .

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Consider a line segment with end points

A(x_1, y_1)

and

B(x_2, y_2)

. (i) Derive a general expression for the coordinates of a point

R

that divides the segment

AB

internally in the ratio

m:n

(where

m

and

n

are positive numbers). (ii) Using the expression obtained in part (i), find the coordinates of the point that divides the segment joining

A(2, 3)

and

B(8, 11)

internally in the ratio

2:3