1. Which coordinate system is a device-dependent coordinate system?
Correct : D. Screen Coordinate System
2. Which of the following is the default coordinate system?
Correct : B. World Coordinate System
3. When every entity of a geometric model remains parallel to its initial position, the
transformation is called as
Correct : B. World Coordinate System
4. In which type of projection, actual dimensions and angles of objects and therefore shapes
cannot be preserved?
Correct : B. World Coordinate System
5. The matrix representation for translation in homogeneous coordinates is
Correct : B. World Coordinate System
6. The matrix representation for scaling in homogeneous coordinates is
Correct : A. P’=S*P
7. The two-dimensional rotation equation in the matrix form is
Correct : C. P’=R*P
8. What is the use of homogeneous coordinates and matrix representation?
Correct : A. To treat all 3 transformations in a consistent way
9. If point are expressed in homogeneous coordinates then the pair of (x, y) is
represented as
Correct : D. (x’, y’, w)
10. For 2D transformation the value of third coordinate i.e. w (or h) =?
Correct : A. 1
11. We can combine the multiplicative and translational terms for 2D into a single
matrix representation by expanding
Correct : B. 2 x 2 matrix into 3 x 3
12. The general homogeneous coordinate representation can also be written as
Correct : B. (h.x, h.y, h)
13. In homogeneous coordinates value of ‘h’ is consider as 1 & it is called…..
Correct : D. Non-Zero Scalar Factor
14. Which co-ordinates allow common vector operations such as translation, rotation,
scaling and perspective projection to be represented as a matrix by which the vector is multiplied?
Correct : D. homogenous co-ordinates
15. In Coordinates, a points in n-dimensional space is represent by
(n+1) coordinates.
Correct : B. Homogeneous
16. A translation is applied to an object by D
Correct : A. Repositioning it along with straight line path
17. We translate a two-dimensional point by adding
Correct : D. Only a
18. The translation distances (dx, dy) is called as
Correct : C. Both a and b
19. In 2D-translation, a point (x, y) can move to the new position (x’, y’) by using
the equation
Correct : B. x’=x+dx and y’=y+dy
20. The two-dimensional translation equation in the matrix form is
Correct : A. P’=P+T
21. -------is a rigid body transformation that moves objects without deformation.
Correct : C. Translation
22. A straight line segment is translated by applying the transformation equation
Correct : A. P’=P+T
23. Polygons are translated by adding to the coordinate position
of each vertex and the current attribute setting.
Correct : D. Only b
24. To change the position of a circle or ellipse we translate
Correct : B. Center coordinates and redraw the figure in new location
25. The basic geometric transformations are
Correct : D. All of the mentioned
26. A two dimensional rotation is applied to an object by
Correct : C. Only b
27. To generate a rotation , we must specify
Correct : A. Rotation angle θ
28. The rotation axis that is perpendicular to the xy plane and passes through the pivot point
is known as
Correct : A. Rotation
29. Positive values for the rotation angle θ defines
Correct : C. Counter clockwise rotations about the pivot point
30. The original coordinates of the point in polar coordinates are
Correct : B. X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ)
31. From the following, which one will require 4 matrices to multiply to get the final position?
Correct : B. Rotation about an arbitrary Point
32. Rotation is simply---------object w.r.t origin or centre point.
Correct : A. Turn
33. A line AB with end point A (2,3) & B (7,8) is to be rotated about origin by 300 in
clockwise direction. Determine the coordinates of end points S of rotated line.
Correct : D. (3.232, 1.598)
34. An ellipse can also be rotated about its center coordinates by rotating
Correct : B. Major and minor axes
35. The transformation that is used to alter the size of an object is
Correct : A. Scaling
36. Scaling of a polygon is done by computing
Correct : D. Only a
37. We control the location of a scaled object by choosing the position is known
as…………………………….
Correct : B. Fixed point
38. If the scaling factors values sx and sy are assigned to the same value then………
Correct : B. Uniform scaling is produced
39. If the scaling factors values Sx and Sy are assigned to unequal values then
Correct : C. Differential scaling is produced
40. The objects transformed using the equation P’=S*P should be
Correct : C. Both a and b
41. If the scaling factors values Sx and Sy < 1 then
Correct : A. It reduces the size of object
42. If the value of Sx=1 and Sy=1 then
Correct : D. No change in the size of an object
43. The polygons are scaled by applying the following transformation.
Correct : A. X’=x * Sx + Xf(1-Sx) & Y’=y * Sy + Yf(1-Sy)
44. Reflection is a special case of rotation.
Correct : B. False
45. If two pure reflections about a line passing through the origin are applied
successively the result is
Correct : A. Pure rotation
46. What is the determinant of the pure reflection matrix?
Correct : C. -1
47. Which of the following is NOT true?
Image formed by reflection through a plane mirror is
Correct : B. same orientation
48. Which of the following represents shearing?
Correct : D. (x, y) → (x+shy, y+shx)
49. If a ‘3 x 3’ matrix shears in X direction, how many elements of it are ‘1’?
Correct : B. 3
50. If a ‘3 x 3’ matrix shears in Y direction, how many elements of it are ‘0’?
Correct : D. 5
51. Shearing is also termed as
Correct : D. Skewing
52. Shearing and reflection are types of translation.
Correct : B. False
53. Which of this is compulsory for 2D reflection?
Correct : C. Reflection axis
54. Two successive translations are
Correct : D. Additive
55. Two successive translations are commutative.
Correct : A. True
56. General pivot point rotation can be expressed as
Correct : B. T(xr,yr).R(θ).T(-xr,-yr) = R(xr,yr,θ)
57. Which of the following is NOT correct (A, B and C are matrices)
Correct : A. A∙B = B∙A
58. Reflection about the line y=0, the axis, is accomplished with the transformation
matrix with how many elements as ‘0’?
Correct : D. 6
59. Which transformation distorts the shape of an object such that the transformed shape
appears as if the object were composed of internal layers that had been caused to slide over each other?
Correct : D. Shearing
60. Transpose of a column matrix is
Correct : C. Row matrix
61. Reversing the order in which a sequence of transformations is performed may affect the
transformed position of an object.
Correct : A. True
62. How many minimum numbers of zeros are there in ‘3 x 3’ triangular matrix?
Correct : B. 3
63. The object space or the space in which the application model is defined is called
Correct : A. World co-ordinate system
64. What is the name of the space in which the image is displayed?
Correct : B. Screen co-ordinate system
65. What is the rectangle in the world defining the region that is to be displayed?
Correct : C. World window
66. The window opened on the raster graphics screen in which the image will be
displayed is called
Correct : D. Interface window
67. The process of mapping a world window in World Coordinates to the Viewport
is called Viewing transformation.
Correct : A. True
68. Panning is a technique in which users can change the size of the area to be
viewed in order to see more detail or less detail.
Correct : B. False
69. Drawing of number of copies of the same image in rows and columns across
the interface window so that they cover the entire window is called
Correct : D. Tiling
70. By changing the dimensions of the viewport, the and of
the objects being displayed can be manipulated.
Correct : C. Size and proportions
71. Co-ordinates are ranging according to the screen resolution.
Correct : A. True
72. Any convenient co-ordinate system or Cartesian co-ordinates which can be used
to define the picture is called
Correct : D. world co-ordinates
73. The transformation of perspective projection must include, where d is the distance
between the center of projection to the projection plane.
Correct : D. -1/d
74. An area on a display device to which a window is mapped is called a………….
Correct : B. Viewpoint
75. A Pixel is
Correct : C. The smallest resolvable part of a picture
76. A system that automates the drafting process with interactive computer graphics is
called
Correct : B. Computer Aided Design (CAD)
77. In which type of projection, actual dimensions and angles of objects and
therefore shapes cannot be preserved?
Correct : C. Perspective
78. Coordinate of □ABCD is WCS are: lowermost corner A(2,2) & diagonal corner are C(8,6). W.r.t MCS. The coordinates of origin of WCS system are (5,4). If the axes of WCS are at 600 in CCW w.r.t. the axes of MCS. Find new vertices of point A in MCS.
Correct : A. (4.268, 6.732)
79. A line AB with end points A (2, 1) & B (7, 6) is to be moved by 3 units in x-direction & 4
units in y-direction. Calculate new coordinates of points B.
Correct : C. (10, 10)
80. QFor generating Coons patch we require
Correct : C. Four bounding curves defining surface
81. In a 2-D CAD package, clockwise circular arc of radius, 5, specified from P1 (15,10)
to P2 (10,15)will have its center at
Correct : A. (10, 10)
82. In the following geometric modelling techniques which are not three-dimensional
modelling?
Correct : B. Drafting
83. In the following three-dimensional modelling techniques. Which do not require
much computer time and memory?
Correct : C. Wireframe modelling
84. In the following geometric modelling techniques. which cannot be used for finite
element analysis:
Correct : D. none of the above
85. In the following geometric primitives. which is not a solid entity of CSG modelling:
Correct : D. Circle
86. Which of the following is not an analytical entity?
Correct : C. Spline
87. Which of the following is not a synthetic entity?
Correct : A. Hyperbola
88. Which one of the following does not belong to the family of conics?
Correct : D. Line
89. The number of tangents required to describe cubic splines is
Correct : B. 1
90. The shape of Bezier curve is controlled by
Correct : A. Control points
91. The curve that follows a convex hull property is:
Correct : B. B-spline
92. The degree of the Bezier curve with n control points is
Correct : A. n + 1
93. The degree of the B-spline with varying knot vectors
Correct : A. Increases with knot vectors
94. The number of non-coincidental points required to define the simplest surface are
Correct : B. 3
95. The tensor product technique constraints surfaces by two curves.
Correct : B. 1
96. In the bezier curve, the curve is always to first and last segments of the
polygon
Correct : C. tangent
97. The unit vector in the direction of the line is defined as .
Correct : C. tangent vector/length of the line
98. From the following, which is an axisymmetric surface?
Correct : C. Surface of Revolution
99. curves allow local control of the curve
Correct : D. B-Spline
100. To determine the coefficients of the equation – two end-points and the two tangent
vectors. This statement is true for which of the following