The vertices of a triangle are

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

A(1,1)

B(4,2)

and

C(2,5)

. (i) Calculate the area of

\triangle ABC

. (ii) Each point

(x,y)

of the plane is mapped to

(3x,3y)

. Write the coordinates of the images

A',B',C'

of the given vertices. (iii) Find the area of

\triangle A'B'C'

. Hence state the ratio of the new area to the original area.