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These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Mechanical Engineering .

Chapters

Chapter: Computer Graphics

1. |
## Which coordinate system is a device-dependent coordinate system? |

A. | World Coordinate System |

B. | Model Coordinate System |

C. | User Coordinate System |

D. | Screen Coordinate System |

Answer» D. Screen Coordinate System |

2. |
## Which of the following is the default coordinate system? |

A. | User Coordinate System |

B. | World Coordinate System |

C. | Screen Coordinate System |

D. | None of the above |

Answer» B. World Coordinate System |

3. |
## When every entity of a geometric model remains parallel to its initial position, the transformation is called as |

A. | User Coordinate System |

B. | World Coordinate System |

C. | Screen Coordinate System |

D. | None of the above |

Answer» B. World Coordinate System |

4. |
## In which type of projection, actual dimensions and angles of objects and therefore shapes cannot be preserved? |

A. | User Coordinate System |

B. | World Coordinate System |

C. | Screen Coordinate System |

D. | None of the above |

Answer» B. World Coordinate System |

5. |
## The matrix representation for translation in homogeneous coordinates is |

A. | User Coordinate System |

B. | World Coordinate System |

C. | Screen Coordinate System |

D. | None of the above |

Answer» B. World Coordinate System |

6. |
## The matrix representation for scaling in homogeneous coordinates is |

A. | P’=S*P |

B. | P’=R*P |

C. | P’=dx+dy |

D. | P’=S*S |

Answer» A. P’=S*P |

7. |
## The two-dimensional rotation equation in the matrix form is |

A. | P’=T+P |

B. | P’=S*P |

C. | P’=R*P |

D. | P’=dx+dy |

Answer» C. P’=R*P |

8. |
## 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 |

Answer» 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 |

A. | (x’, y’, z’) |

B. | (x, y, z) |

C. | (x’, y’, w’) |

D. | (x’, y’, w) |

Answer» D. (x’, y’, w) |

10. |
## For 2D transformation the value of third coordinate i.e. w (or h) =? |

A. | 1 |

B. | 0 |

C. | -1 |

D. | Any value |

Answer» A. 1 |

11. |
## We can combine the multiplicative and translational terms for 2D into a single matrix representation by expanding |

A. | 2 x 2 matrix into 4x4 matrix |

B. | 2 x 2 matrix into 3 x 3 |

C. | 3 x 3 matrix into 2 x 2 |

D. | Only c |

Answer» B. 2 x 2 matrix into 3 x 3 |

12. |
## The general homogeneous coordinate representation can also be written as |

A. | (h.x, h.y, h.z) |

B. | (h.x, h.y, h) |

C. | (x, y, h.z) |

D. | (x,y,z) |

Answer» B. (h.x, h.y, h) |

13. |
## In homogeneous coordinates value of ‘h’ is consider as 1 & it is called….. |

A. | Magnitude Vector |

B. | Unit Vector |

C. | Non-Zero Vector |

D. | Non-Zero Scalar Factor |

Answer» 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? |

A. | vector co-ordinates |

B. | 3D co-ordinates |

C. | affine co-ordinates |

D. | homogenous co-ordinates |

Answer» D. homogenous co-ordinates |

15. |
## In Coordinates, a points in n-dimensional space is represent by (n+1) coordinates. |

A. | Scaling |

B. | Homogeneous |

C. | Inverse transformation |

D. | 3D Transformation |

Answer» B. Homogeneous |

16. |
## A translation is applied to an object by D |

A. | Repositioning it along with straight line path |

B. | Repositioning it along with circular path |

C. | Only b |

D. | All of the mentioned |

Answer» A. Repositioning it along with straight line path |

17. |
## We translate a two-dimensional point by adding |

A. | Translation distances |

B. | Translation difference |

C. | X and Y |

D. | Only a |

Answer» D. Only a |

18. |
## The translation distances (dx, dy) is called as |

A. | Translation vector |

B. | Shift vector |

C. | Both a and b |

D. | Neither a nor b |

Answer» 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 |

A. | x’=x+dx and y’=y+dx |

B. | x’=x+dx and y’=y+dy |

C. | X’=x+dy and Y’=y+dx |

D. | X’=x-dx and y’=y-dy |

Answer» B. x’=x+dx and y’=y+dy |

20. |
## The two-dimensional translation equation in the matrix form is |

A. | P’=P+T |

B. | P’=P-T |

C. | P’=P*T |

D. | P’=P |

Answer» A. P’=P+T |

21. |
## -------is a rigid body transformation that moves objects without deformation. |

A. | Rotation |

B. | Scaling |

C. | Translation |

D. | All of the mentioned |

Answer» C. Translation |

22. |
## A straight line segment is translated by applying the transformation equation |

A. | P’=P+T |

B. | Dx and Dy |

C. | P’=P+P |

D. | Only c |

Answer» A. P’=P+T |

23. |
## Polygons are translated by adding to the coordinate position of each vertex and the current attribute setting. |

A. | Straight line path |

B. | Translation vector |

C. | Differences |

D. | Only b |

Answer» D. Only b |

24. |
## To change the position of a circle or ellipse we translate |

A. | Center coordinates |

B. | Center coordinates and redraw the figure in new location |

C. | Outline coordinates |

D. | All of the mentioned |

Answer» B. Center coordinates and redraw the figure in new location |

25. |
## The basic geometric transformations are |

A. | Translation |

B. | Rotation |

C. | Scaling |

D. | All of the mentioned |

Answer» D. All of the mentioned |

26. |
## A two dimensional rotation is applied to an object by |

A. | Repositioning it along with straight line path |

B. | Repositioning it along with circular path |

C. | Only b |

D. | Any of the mentioned |

Answer» C. Only b |

27. |
## To generate a rotation , we must specify |

A. | Rotation angle θ |

B. | Distances dx and dy |

C. | Rotation distance |

D. | All of the mentioned |

Answer» A. Rotation angle θ |

28. |
## The rotation axis that is perpendicular to the xy plane and passes through the pivot point is known as |

A. | Rotation |

B. | Translation |

C. | Scaling |

D. | Shearing |

Answer» A. Rotation |

29. |
## Positive values for the rotation angle θ defines |

A. | Counter clockwise rotations about the end points |

B. | Counter clockwise translation about the pivot point |

C. | Counter clockwise rotations about the pivot point |

D. | Negative direction |

Answer» C. Counter clockwise rotations about the pivot point |

30. |
## The original coordinates of the point in polar coordinates are |

A. | X’=r cos (Ф +ϴ) and Y’=r cos (Ф +ϴ) |

B. | X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ) |

C. | X’=r cos (Ф -ϴ) and Y’=r cos (Ф -ϴ) |

D. | X’=r cos (Ф +ϴ) and Y’=r sin (Ф -ϴ) |

Answer» 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? |

A. | Rotation about the origin |

B. | Rotation about an arbitrary Point |

C. | Rotation about an arbitrary line |

D. | Scaling about the origin |

Answer» B. Rotation about an arbitrary Point |

32. |
## Rotation is simply---------object w.r.t origin or centre point. |

A. | Turn |

B. | Shift |

C. | Compression |

D. | Drag element |

Answer» 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. |

A. | (3.232, 2.598) |

B. | (5.232, 3.598) |

C. | (3.232, 1.298) |

D. | (3.232, 1.598) |

Answer» D. (3.232, 1.598) |

34. |
## An ellipse can also be rotated about its center coordinates by rotating |

A. | End points |

B. | Major and minor axes |

C. | Only a |

D. | None |

Answer» B. Major and minor axes |

35. |
## The transformation that is used to alter the size of an object is |

A. | Scaling |

B. | Rotation |

C. | Translation |

D. | Reflection |

Answer» A. Scaling |

36. |
## Scaling of a polygon is done by computing |

A. | The product of (x, y) of each vertex |

B. | (x, y) of end points |

C. | Center coordinates |

D. | Only a |

Answer» D. Only a |

37. |
## We control the location of a scaled object by choosing the position is known as……………………………. |

A. | Pivot point |

B. | Fixed point |

C. | Differential scaling |

D. | Uniform scaling |

Answer» B. Fixed point |

38. |
## If the scaling factors values sx and sy are assigned to the same value then……… |

A. | Uniform rotation is produced |

B. | Uniform scaling is produced |

C. | Scaling cannot be done |

D. | Scaling can be done or cannot be done |

Answer» B. Uniform scaling is produced |

39. |
## 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 |

Answer» C. Differential scaling is produced |

40. |
## The objects transformed using the equation P’=S*P should be |

A. | Scaled |

B. | Repositioned |

C. | Both a and b |

D. | Neither a nor b |

Answer» C. Both a and b |

41. |
## If the scaling factors values Sx and Sy < 1 then |

A. | It reduces the size of object |

B. | It increases the size of object |

C. | It stunts the shape of an object |

D. | None |

Answer» A. It reduces the size of object |

42. |
## If the value of Sx=1 and Sy=1 then |

A. | Reduce the size of object |

B. | Distort the picture |

C. | Produce an enlargement |

D. | No change in the size of an object |

Answer» D. No change in the size of an object |

43. |
## The polygons are scaled by applying the following transformation. |

A. | X’=x * Sx + Xf(1-Sx) & Y’=y * Sy + Yf(1-Sy) |

B. | X’=x * Sx + Xf(1+Sx) & Y’=y * Sy + Yf(1+Sy |

C. | X’=x * Sx + Xf(1-Sx) & Y’=y * Sy – Yf(1-Sy) |

D. | X’=x * Sx * Xf(1-Sx) & Y’=y * Sy * Yf(1-Sy) |

Answer» A. X’=x * Sx + Xf(1-Sx) & Y’=y * Sy + Yf(1-Sy) |

44. |
## Reflection is a special case of rotation. |

A. | True |

B. | False |

Answer» B. False |

45. |
## If two pure reflections about a line passing through the origin are applied successively the result is |

A. | Pure rotation |

B. | Quarter rotation |

C. | Half rotation |

D. | True reflection |

Answer» A. Pure rotation |

46. |
## What is the determinant of the pure reflection matrix? |

A. | 1 |

B. | 0 |

C. | -1 |

D. | 2 |

Answer» C. -1 |

47. |
## Which of the following is NOT true? Image formed by reflection through a plane mirror is |

A. | of same size |

B. | same orientation |

C. | is at same distance from the mirror |

D. | virtual |

Answer» B. same orientation |

48. |
## Which of the following represents shearing? |

A. | (x, y) → (x+shx, y+shy) |

B. | (x, y) → (ax, by) |

C. | (x, y) → (x cos(θ)+y sin(θ), -x sin(θ)+y cos(θ)) |

D. | (x, y) → (x+shy, y+shx) |

Answer» 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’? |

A. | 2 |

B. | 3 |

C. | 6 |

D. | 5 |

Answer» B. 3 |

50. |
## If a ‘3 x 3’ matrix shears in Y direction, how many elements of it are ‘0’? |

A. | 2 |

B. | 3 |

C. | 6 |

D. | 5 |

Answer» D. 5 |

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