Transformations

Question 1
Match List-I with List-II. List-I gives 33 matrices representing 2D transformations and List-II shows the corresponding transformation diagrams.

Choose the correct answer from the options given below:
A
A-IV, B-II, C-III, D-I
B
A-IV, B-III, C-II, D-I
C
A-III, B-II, C-IV, D-I
D
A-II, B-IV, C-III, D-I
Question 2
A point P(5, 1) is rotated by 90° about a pivot point (2, 2). What is the coordinate of new transformed point P′ ?
A
(3, 5)
B
(5, 3)
C
(2, 4)
D
(1, 5)
Question 2 Explanation: 
Rotation around a pivot point (2, 2) can be represented as:
(h, k) = (2, 2)

Question 3
Let us consider that the original point is (x, y) and new transformed point is (x′, y′). Further, Shx and Shy are shearing factors in the x and y directions. If we perform the y-direction shear relative to x = xref then the transformed point is given by _______.
A
x′ = x + Shx ⋅ (y – yref)

y′ = y

B
x′ = x

y′ = y ⋅ Shx

C
x′ = x

y′ = Shy (x – xref) + y

D
x′ = Shy ⋅ y

y′ = y ⋅ (x – xref)

Question 3 Explanation: 
There are 3 questions to complete.

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