Let the three points be

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

Problem

A(k,1)

B(3,-2)

and

C(5,2)

. (a) Determine the value(s) of

k

for which the three points are collinear. (b) When

k=2

, find the area of triangle

ABC

. (c) Explain how your result in part (a) is consistent with the calculation in part (b).