Consider the rectangle with vertices (0, 0), (0, 2), (3, 0), (3, 2). There is scaling of 2 towards x-axis and 3 towards y-axis. The new cordinates of the rectangle are 

The correct answer is (0, 0), (6, 0), (0, 6), (6, 6)

Key PointsThe scaling operation does not change the origin (0,0).

When you apply the scale of 2 towards the x-axis to a point (x,y), you get (2*x, y) because you're scaling only on the x-axis.

Similarly, when you apply the scale of 3 towards the y-axis to a point (x,y), you get (x, 3*y) because you're scaling only on the y-axis.

So:

• (0,0) remains (0,0) because 0*scale is still 0 on both axes
• (0,2) becomes (0,2*3) = (0,6) because the y coordinate is multiplied by 3
• (3,0) becomes (3*2,0) = (6,0) because the x coordinate is multiplied by 2
• (3,2) becomes (32,23) = (6,6) because both the coordinates are scaled

The new coordinates of the rectangle are (0, 0), (0, 6), (6, 0), (6, 6)

Mistake Points Option 3 (0, 0), (6, 0), (0, 6), (6, 6) was sequence mistake but UGC consider it correct. correct order is (0, 0), (0, 6), (6, 0), (6, 6)