Question
Download Solution PDFConsider 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
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe 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)
Last updated on Jun 12, 2025
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