Consider the points

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

Problem

Consider the points

A(1,2)

B(4,6)

and

C(7,10)

. (i) Calculate the area of triangle

ABC

. (ii) Using your result, prove that the three points are collinear. (iii) Determine the ratio in which point

B

divides the segment

AC