NTA UGC NET JUNE-2023 Paper-2

To scale a rectangle by a factor of 2 along the x-axis and 3 along the y-axis, you can apply the scaling factor to each vertex individually. The scaling operation multiplies the x-coordinate by 2 and the y-coordinate by 3 for each vertex.

Given the original vertices of the rectangle:

(0, 0)
(0, 2)
(3, 0)
(3, 2)
After scaling, the new coordinates are:

(0 * 2, 0 * 3) = (0, 0)
(0 * 2, 2 * 3) = (0, 6)
(3 * 2, 0 * 3) = (6, 0)
(3 * 2, 2 * 3) = (6, 6)
So, the correct new coordinates of the rectangle after scaling are:

(0, 0) (0, 6) (6, 0) (6, 6)

The option that matches these coordinates is:

(0, 0) (0, 6) (6, 0) (6, 6)