 ###### Question 7706 – Artificial-Intelligence
November 18, 2023
###### Question 16168 – UGC NET Dec-2020 and June-2021 Paper-1
November 18, 2023
###### Question 7706 – Artificial-Intelligence
November 18, 2023
###### Question 16168 – UGC NET Dec-2020 and June-2021 Paper-1
November 18, 2023

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

Question 20 Explanation:
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)

(0,0)(6,0)(0,4)(6,4)
(0,0)(6,0)(0,4)(3,2)

(0,0)(6,0)(0,6)(6,6)
(0,0)(4,0)(0,6)(4,6)