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This section includes 10 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. |
The asymptotes of any hyperbola intersects at __________ |
A. | On the directrix |
B. | On the axis |
C. | At focus |
D. | Centre |
Answer» E. | |
2. |
Steps are given to locate asymptotes of hyperbola if its axis and focus are given. Arrange the steps.i. Draw a perpendicular AB to axis at vertex.ii. OG and OE are required asymptotes.iii. With O midpoint of axis (centre) taking radius as OF (F is focus) draw arcs cutting AB at E, G.iv. Join O, G and O, E. |
A. | i, iii, iv, ii |
B. | ii, iv, i, iii |
C. | iii, iv, i, ii |
D. | iv, i, ii, iii |
E. | taking radius as OF (F is focus) draw arcs cutting AB at E, G.iv. Join O, G and O, E.a) i, iii, iv, iib) ii, iv, i, iiic) iii, iv, i, iid) iv, i, ii, iii |
Answer» C. iii, iv, i, ii | |
3. |
Steps are given to locate the directrix of hyperbola when axis and foci are given. Arrange the steps.i. Draw a line joining A with the other Focus F.ii. Draw the bisector of angle FAF1, cutting the axis at a point B.iii. Perpendicular to axis at B gives directrix.iv. From the first focus F1 draw a perpendicular to touch hyperbola at A. |
A. | i, ii, iii, iv |
B. | ii, iv, i, iii |
C. | iii, iv, i, ii |
D. | iv, i, ii, iii |
Answer» E. | |
4. |
THE_ASYMPTOTES_OF_ANY_HYPERBOLA_INTERSECTS_AT___________?$ |
A. | On the directrix |
B. | On the axis |
C. | At focus |
D. | Centre |
Answer» E. | |
5. |
A straight line parallel to asymptote intersects the hyperbola at only one point. |
A. | True |
B. | False |
Answer» B. False | |
6. |
If the asymptotes are perpendicular to each other then the hyperbola is called rectangular hyperbola. |
A. | True |
B. | False |
Answer» B. False | |
7. |
Which of the following is the eccentricity for hyperbola? |
A. | 1 |
B. | 3/2 |
C. | 2/3 |
D. | 1/2 |
Answer» C. 2/3 | |
8. |
The lines which touch the hyperbola at an infinite distance are ________ |
A. | Axes |
B. | Tangents at vertex |
C. | Latus rectum |
D. | Asymptotes |
Answer» E. | |
9. |
Which of the following constructions use hyperbolic curves? |
A. | Cooling towers |
B. | Dams |
C. | Bridges |
D. | Man-holes |
Answer» B. Dams | |
10. |
Which of the following is Hyperbola equation? |
A. | y<sup>2</sup> + x<sup>2</sup>/b<sup>2</sup> = 1 |
B. | x<sup>2</sup>= 1ay |
C. | x<sup>2</sup> /a<sup>2</sup> – y<sup>2</sup>/b<sup>2</sup> = 1 |
D. | X<sup>2</sup> + Y<sup>2</sup> = 1 |
Answer» D. X<sup>2</sup> + Y<sup>2</sup> = 1 | |