Let and be two points in the plane

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

Problem

Let

A(2k, 4)

and

B(5, 3k)

be two points in the plane. A point

S

divides the line segment

AB

internally in the ratio

2:1

and lies on the

x

-axis. (i) Determine the value of

k

. (ii) Find the coordinates of the point

S

. (iii) Calculate the length of the segment

AS