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If the scaling factors values sx and sy are assigned to unequal values then
A.
Uniform rotation is produced
B.
Uniform scaling is produced
C.
Differential scaling is produced
D.
Scaling cannot be done
Correct Answer C. Differential scaling is produced
Explanation When the scaling factors sx and sy are assigned unequal values, it results in differential scaling. This means that the object will be scaled differently in the x and y directions, causing it to stretch or compress in one direction more than the other. This results in a non-uniform scaling effect, where the object's proportions are changed.
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2.
What is the use of homogeneous coordinates and matrix representation?
A.
To treat all 3 transformations in a consistent way
B.
To scale
C.
To rotate
D.
To shear the object
Correct Answer A. To treat all 3 transformations in a consistent way
Explanation Homogeneous coordinates and matrix representation are used to treat all three transformations (scaling, rotation, and shearing) in a consistent way. By representing the transformations as matrices, it becomes easier to apply multiple transformations to an object without losing information. The homogeneous coordinates allow for the representation of points at infinity, which is useful in computer graphics and geometric calculations. Overall, using homogeneous coordinates and matrix representation ensures a unified approach to handling different transformations efficiently and accurately.
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3.
The matrix representation for translation in homogeneous coordinates is
A.
P’=T+P
B.
P’=S*P
C.
P’=R*P
D.
P’=T*P
Correct Answer D. P’=T*P
Explanation The correct answer is P’=T*P because in homogeneous coordinates, translation is represented by a translation matrix T. Multiplying the translation matrix T with the point matrix P will result in the transformed point matrix P'. This is the correct representation for translation in homogeneous coordinates.
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4.
The figures represent which type of transformation?
A.
Translation up 10 units.
B.
Rotation 90º
C.
Reflection across the x-axis.
D.
Reflection across the y-axis.
Correct Answer C. Reflection across the x-axis.
Explanation The figures represent a reflection across the x-axis because the x-coordinates of each point remain the same, while the y-coordinates are negated. This results in the figures being flipped upside down with respect to the x-axis.
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5.
In Cohen-sutherland line clipping algorithm, a completely visible line segment is detected when
A.
Bitwise logical AND of endpoint region codes is zero
B.
Bitwise logical OR of endpoint region codes is zero
C.
Bitwise logical AND of endpoint region codes is not zero
D.
None
Correct Answer B. Bitwise logical OR of endpoint region codes is zero
Explanation In the Cohen-Sutherland line clipping algorithm, the endpoint region codes represent the position of the endpoints of the line segment with respect to the clipping window. The region codes are typically binary numbers that indicate whether the endpoint is inside or outside the window.
If the bitwise logical OR of the endpoint region codes is zero, it means that both endpoints are inside the window. This indicates that the line segment is completely visible and does not need to be clipped.
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6.
To change the position of a circle or ellipse need to translate
A.
Center coordinates
B.
Center coordinates and redraw the figure in new location
C.
Outline coordinates
D.
All of the mentioned
Correct Answer B. Center coordinates and redraw the figure in new location
Explanation To change the position of a circle or ellipse, one needs to translate the center coordinates and redraw the figure in a new location. This means that the center point of the circle or ellipse is moved to a different position, and then the entire shape is redrawn accordingly. This process allows for the circle or ellipse to be repositioned without altering its size or shape. Therefore, the correct answer is "Center coordinates and redraw the figure in new location."
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7.
Magnify the rectangle ABCD with 3/2 unit in both the direction. New coordinates of the rectangle after transformation will be
A.
A(1,1) B(3,1.5) C(3,4.5) D(1.5,4.5)
B.
A(1.5,1.5) B(3,1) C(3,4.5) D(1.5,4.5)
C.
A(1.5,1.5) B(3,1.5) C(3,4.5) D(1,3.5)
D.
A(1.5,1.5) B(3,1.5) C(3,4.5) D(1.5,4.5)
Correct Answer D. A(1.5,1.5) B(3,1.5) C(3,4.5) D(1.5,4.5)
8.
The transformation in which the dimension of an object is changed relative to the axes is called
A.
Rotation
B.
Reflection
C.
Scaling
D.
Translation
Correct Answer C. Scaling
Explanation Scaling is the correct answer because it refers to the transformation in which the dimension of an object is changed relative to the axes. Scaling can either increase or decrease the size of an object along the x, y, or z-axis. This transformation does not involve any rotation, reflection, or translation of the object, but solely focuses on changing its size.
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9.
The transformation that disturbs the shape of an object is called
A.
Reflection
B.
Rotation
C.
Scaling
D.
Shear
Correct Answer D. Shear
Explanation Shear is a transformation that causes a distortion in the shape of an object. It involves shifting one part of the object in a parallel direction, while keeping the other parts fixed. This results in a sheared or skewed shape. Unlike reflection, rotation, and scaling, shear specifically affects the shape of the object by stretching or compressing it along a particular axis.
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10.
Apply reflection about both the axis over the rectangle A(0,0), B(2,0), C(2, 2), D(0, 2). After reflection, new coordinates of the ABCD will be
A.
A(0,0), B(-2,0), C(-2, 2), D(0, -2)
B.
A(0,0), B(2,0), C(-2, 2), D(0, 2)
C.
A(0,0), B(-2,0), C(-2, -2), D(0, -2)
D.
A(0,0), B(-2,0), C(-2, -2), D(0, 2)
Correct Answer C. A(0,0), B(-2,0), C(-2, -2), D(0, -2)
Explanation The correct answer is A(0,0), B(-2,0), C(-2, -2), D(0, -2). When a reflection is applied about the x-axis, the y-coordinate of each point is negated. When a reflection is applied about the y-axis, the x-coordinate of each point is negated. In this case, both reflections are applied simultaneously, resulting in the negation of both the x and y coordinates for each point. Therefore, the new coordinates of A, B, C, and D are A(0,0), B(-2,0), C(-2, -2), D(0, -2).