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This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Drawing knowledge and support exam preparation. Choose a topic below to get started.
1. |
Find the conjugate hyperbola equation for the hyperbola of equation X2/a2 Y2/b2 = 1? |
A. | X<sup>2</sup>/b<sup>2</sup> Y<sup>2</sup>/a<sup>2</sup> = -1 |
B. | X<sup>2</sup>/a<sup>2</sup> Y<sup>2</sup>/b<sup>2</sup> = -1 |
C. | X<sup>2</sup>/a<sup>2</sup> Y<sup>2</sup>/b<sup>2</sup> = 0 |
D. | X<sup>2</sup>/b<sup>2</sup> Y<sup>2</sup>/a<sup>2</sup> = 0 |
Answer» B. X<sup>2</sup>/a<sup>2</sup> Y<sup>2</sup>/b<sup>2</sup> = -1 | |
2. |
Find the eccentricity of the hyperbola of equation X2/4 Y2/5 =1? |
A. | 3/2 |
B. | 3/4 |
C. | 4/3 |
D. | 5/4 |
Answer» B. 3/4 | |
3. |
The equation for the asymptotes of the hyperbola of equation X2/a2 Y2/b2 = 1 is ______ |
A. | Y = -bX/a |
B. | Y = bX/a |
C. | Y = bX/a |
D. | Y = aX/b |
Answer» D. Y = aX/b | |
4. |
For the equation of hyperbola XY = 3, what will be the eccentricity? |
A. | 2 |
B. | 3 |
C. | 1 |
D. | 1/2 |
Answer» B. 3 | |
5. |
As per Boyle s law the product of pressure and volume, P*V = constant. In water channels, we use this equation which results in ______ |
A. | Parabolic curve |
B. | Rectangular hyperbolic curve |
C. | Elliptical curve |
D. | Straight line |
Answer» C. Elliptical curve | |
6. |
Find the eccentricity of the hyperbola of equation X2/32 Y2/42 = 1? |
A. | 3/2 |
B. | 3/4 |
C. | 4/3 |
D. | 5/4 |
Answer» E. | |
7. |
Which of the following is the eccentricity of a rectangular hyperbola? |
A. | 1 |
B. | 1/2 |
C. | 3/2 |
D. | 2 |
Answer» E. | |
8. |
The rectangular hyperbola is the set of points whose product of the distance from the fixed lines perpendicular to each other is constant. What are those fixed lines called? |
A. | Directrix |
B. | Latus rectum |
C. | Asymptotes |
D. | Semi-latus rectum |
Answer» E. | |
9. |
Which of the following equation is true for the hyperbola, where P is on the hyperbola curve, F1, F2 are the two fixed points, the foci, and a is the distance from the vertices of the hyperbola to its center. |
A. | PF<sub>1</sub> PF<sub>2</sub> = a |
B. | ||PF<sub>2</sub> |-|PF<sub>1</sub>|| = 2a |
C. | |PF<sub>1</sub> PF<sub>2</sub> | = 2a |
D. | |PF<sub>2</sub> PF<sub>1</sub> | = 2a |
Answer» C. |PF<sub>1</sub> PF<sub>2</sub> | = 2a | |
10. |
Which of the following is the standard hyperbolical curve equation? |
A. | X<sup>2</sup> + Y<sup>2</sup> = a<sup>2</sup> |
B. | X<sup>2</sup> + Y<sup>2</sup> = a |
C. | X<sup>2</sup>/a<sup>2</sup> + Y<sup>2</sup>b<sup>2</sup> = 1 |
D. | X<sup>2</sup>/a<sup>2</sup> Y<sup>2</sup>/b<sup>2</sup> = 1 |
Answer» E. | |
11. |
Which of the following is the value of eccentricity which suits the hyperbola? |
A. | 1 |
B. | 1/2 |
C. | 3/2 |
D. | 1/4 |
Answer» D. 1/4 | |
12. |
Rectangular hyperbola is formed when the section plane is parallel to the axis. |
A. | True |
B. | False |
Answer» B. False | |
13. |
Which of the following described cut sections gives the hyperbolic curve from the cone? |
A. | A section parallel to the cone axis |
B. | A section parallel to the base of the cone |
C. | A section parallel to one of the generators |
D. | Section perpendicular to the cone axis |
Answer» B. A section parallel to the base of the cone | |
14. |
In which of the following hyperbolic curves are not used in the design phase? |
A. | Cooling towers |
B. | Water channels |
C. | Stuffing box |
D. | Mirrors in long-distance telescopes |
Answer» D. Mirrors in long-distance telescopes | |
15. |
Hyperbolic curves are used for which of the following designs? |
A. | Light reflectors |
B. | Sound reflectors |
C. | Cooling towers |
D. | Arches |
Answer» D. Arches | |