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