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This section includes 13 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. | X2/b2 – Y2/a2 = -1 |
B. | X2/a2 – Y2/b2 = -1 |
C. | X2/a2 – Y2/b2 = 0 |
D. | X2/b2 – Y2/a2 = 0 |
Answer» B. X2/a2 – Y2/b2 = -1 | |
2. |
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 | |
3. |
For the equation of hyperbola XY = 3, what will be the eccentricity? |
A. | √2 |
B. | √3 |
C. | 1 |
D. | 1/2 |
Answer» B. √3 | |
4. |
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 curved) Elliptical curved) Straight line |
C. | |
Answer» C. | |
5. |
Which of the following is the eccentricity of a rectangular hyperbola? |
A. | 1 |
B. | 1/2 |
C. | 3/2 |
D. | √2 |
Answer» E. | |
6. |
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. | |
7. |
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. | PF1 – PF2 = a |
B. | ||PF2 |-|PF1|| = 2a |
C. | |PF1 – PF2 | = 2a |
D. | |PF2 – PF1 | = 2a |
Answer» C. |PF1 – PF2 | = 2a | |
8. |
Which of the following is the standard hyperbolical curve equation? |
A. | X2 + Y2 = a2 |
B. | X2 + Y2 = a |
C. | X2/a2 + Y2b2 = 1 |
D. | X2/a2 – Y2/b2 = 1 |
Answer» E. | |
9. |
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 | |
10. |
Rectangular hyperbola is formed when the section plane is parallel to the axis. |
A. | True |
B. | False |
Answer» B. False | |
11. |
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 | |
12. |
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 | |
13. |
Hyperbolic curves are used for which of the following designs? |
A. | Light reflectors |
B. | Sound reflectors |
C. | Cooling towers |
D. | Arches |
Answer» D. Arches | |