MCQOPTIONS
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MCQOPTIONS
This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Rectangular hyperbola is one of the hyperbola but the asymptotes are perpendicular in case of rectangular hyperbola. |
| A. | true |
| B. | false |
| Answer» B. false | |
| 2. |
The cross-section gives a when the cutting plane is parallel to axis of cone. |
| A. | parabola |
| B. | hyperbola |
| C. | circle |
| D. | ellipse |
| Answer» C. circle | |
| 3. |
The curve formed when eccentricity is equal to one is |
| A. | parabola |
| B. | circle |
| C. | semi-circle |
| D. | hyperbola |
| Answer» B. circle | |
| 4. |
The cross-section is a when a plane is inclined to the axis and cuts all the generators of a regular cone. |
| A. | rectangular hyperbola |
| B. | hyperbola |
| C. | circle |
| D. | ellipse |
| Answer» E. | |
| 5. |
If the distance from a fixed point is greater than the distance from a fixed straight line then what is the value of eccentricity? |
| A. | unity |
| B. | infinity |
| C. | zero |
| D. | greater than one |
| Answer» E. | |
| 6. |
If the distance from the directrix is greater than the distance from the focus then what is the name of the conic section? |
| A. | hyperbola |
| B. | parabola |
| C. | ellipse |
| D. | circle |
| Answer» D. circle | |
| 7. |
If the distance from a fixed straight line is equal to the distance from a fixed point then what is the value of eccentricity? |
| A. | unity |
| B. | greater than one |
| C. | infinity |
| D. | zero |
| Answer» B. greater than one | |
| 8. |
If the distance from a fixed straight line is 5mm and the distance from a fixed point is 14mm then what is the name of the conic section? |
| A. | hyperbola |
| B. | parabola |
| C. | ellipse |
| D. | circle |
| Answer» B. parabola | |
| 9. |
If the distance from the directrix is 5 units and the distance from the focus is 3 units then what is the value of eccentricity? |
| A. | 1.667 |
| B. | 0.833 |
| C. | 0.60 |
| D. | 0.667 |
| Answer» D. 0.667 | |
| 10. |
If the distance from the directrix is greater than the distance from the focus then what is the value of eccentricity? |
| A. | unity |
| B. | less than one |
| C. | greater than one |
| D. | zero |
| Answer» C. greater than one | |
| 11. |
If the distance from a fixed straight line is equal to the distance from a fixed point then what is the name of the conic section? |
| A. | ellipse |
| B. | parabola |
| C. | hyperbola |
| D. | circle |
| Answer» C. hyperbola | |
| 12. |
If the distance from a fixed point is greater than the distance from a fixed straight line then what is the name of the conic section? |
| A. | parabola |
| B. | circle |
| C. | hyperbola |
| D. | ellipse |
| Answer» D. ellipse | |
| 13. |
If the distance from the directrix is 5 units and the distance from the focus is 3 units then what is the name of the conic section? |
| A. | ellipse |
| B. | parabola |
| C. | hyperbola |
| D. | circle |
| Answer» B. parabola | |
| 14. |
If the distance from the focus is 3 units and the distance from the directrix is 3 units, then what is the name of the conic section? |
| A. | ellipse |
| B. | hyperbola |
| C. | circle |
| D. | parabola |
| Answer» E. | |
| 15. |
If the distance from the focus is 2 mm and the distance from the directrix is 0.5 mm then what is the value of eccentricity? |
| A. | 0.4 |
| B. | 4 |
| C. | 0.04 |
| D. | 40 |
| Answer» C. 0.04 | |
| 16. |
If the distance from the focus is 10 units and the distance from the directrix is 30 units, then what is the name of the conic? |
| A. | circle |
| B. | parabola |
| C. | hyperbola |
| D. | ellipse |
| Answer» E. | |
| 17. |
Which of the following has an eccentricity less than one? |
| A. | circle |
| B. | parabola |
| C. | hyperbola |
| D. | ellipse |
| Answer» E. | |
| 18. |
Which of the following conics has an eccentricity of unity? |
| A. | circle |
| B. | parabola |
| C. | hyperbola |
| D. | ellipse |
| Answer» C. hyperbola | |
| 19. |
The ratio of the distance from the focus to the distance from the directrix is called as eccentricity. |
| A. | true |
| B. | false |
| Answer» B. false | |
| 20. |
The locus of point moving in a plane such that the distance between a fixed point and a fixed straight line is constant is called as |
| A. | conic |
| B. | rectangle |
| C. | square |
| D. | polygon |
| Answer» B. rectangle | |
| 21. |
When the plane cuts the cone at angle parallel to the axis of the cone, then is formed. |
| A. | hyperbola |
| B. | parabola |
| C. | circle |
| D. | ellipse |
| Answer» B. parabola | |
| 22. |
While cutting, if the plane is at an angle and it cuts all the generators, then the conic formed is called as |
| A. | circle |
| B. | ellipse |
| C. | parabola |
| D. | hyperbola |
| Answer» C. parabola | |
| 23. |
In conics, the is revolving to form two anti-parallel cones joined at the apex. |
| A. | ellipse |
| B. | circle |
| C. | generator |
| D. | parabola |
| Answer» D. parabola | |
| 24. |
The mosquito coil we generally see in house hold purposes and heating coils in electrical heater etc are generally which spiral. |
| A. | logarithmic spiral |
| B. | equiangular spiral |
| C. | fibonacci spiral |
| D. | archemedian spiral |
| Answer» E. | |
| 25. |
The sections cut by a plane on a right circular cone are called as |
| A. | parabolic sections |
| B. | conic sections |
| C. | elliptical sections |
| D. | hyperbolic sections |
| Answer» C. elliptical sections | |
| 26. |
In logarithmic Spiral, the radius vectors are in arithmetical progression. |
| A. | true |
| B. | false |
| Answer» C. | |
| 27. |
Logarithmic spiral is also called Equiangular spiral. |
| A. | true |
| B. | false |
| Answer» B. false | |
| 28. |
Fermat’s spiral iv. r=Ɵ1/2 |
| A. | 1, i; 2, ii; 3, iii; 4, iv |
| B. | 1, ii; 2, iii; 3, i; 4, iv |
| C. | 1, iv; 2, i; 3, ii; 4, iii |
| D. | 1, ii; 2, iv; 3, iii; 4, i |
| Answer» D. 1, ii; 2, iv; 3, iii; 4, i | |
| 29. |
Cyclone iv. Lituus spiral |
| A. | 1, i; 2, ii; 3, iii; 4, iv |
| B. | 1, ii; 2, iii; 3, i; 4, iv |
| C. | 1, ii; 2, iv; 3, iii; 4, i |
| D. | 1, iv; 2, i; 3, ii; 4, iii |
| Answer» C. 1, ii; 2, iv; 3, iii; 4, i | |
| 30. |
Match the following. Given points are about spirals. |
| A. | 1, i; 2, ii; 3, iii; 4, iv |
| B. | 1, ii; 2, iii; 3, i; 4, iv |
| C. | 1, ii; 2, iv; 3, iii; 4, i |
| D. | 1, iv; 2, i; 3, ii; 4, iii |
| Answer» E. | |
| 31. |
‘Hypo’ as prefix to cycloids give that the generating circle is inside the directing circle. |
| A. | true |
| B. | false |
| Answer» B. false | |
| 32. |
Mathematical equation for Involute is |
| A. | x = a cos3 θ |
| B. | x = r cosθ + r θ sinθ |
| C. | x = (a+b)cosθ – a cos(a+b⁄a θ) |
| D. | y = a(1-cosθ) |
| Answer» C. x = (a+b)cosθ – a cos(a+b⁄a θ) | |
| 33. |
The generating point is outside the generating circle for |
| A. | cycloid |
| B. | superior trochoid |
| C. | inferior trochoid |
| D. | epicycloid |
| Answer» C. inferior trochoid | |
| 34. |
The generating circle will be inside the directing circle for |
| A. | cycloid |
| B. | inferior trochoid |
| C. | inferior epitrochoid |
| D. | hypocycloid |
| Answer» E. | |
| 35. |
When the circle rolls along another circle inside it, the curve is called a |
| A. | epicycloid |
| B. | cycloid |
| C. | trochoid |
| D. | hypocycloid |
| Answer» E. | |
| 36. |
is a curve generated by a point on the circumference of a circle which rolls without slipping on a straight line. |
| A. | trochoid |
| B. | epicycloid |
| C. | cycloid |
| D. | evolute |
| Answer» D. evolute | |
| 37. |
is a curve generated by a point on the circumference of a circle, which rolls without slipping along another circle outside it. |
| A. | trochoid |
| B. | epicycloid |
| C. | hypotrochoid |
| D. | involute |
| Answer» C. hypotrochoid | |
| 38. |
is a curve generated by a point fixed to a circle, within or outside its circumference, as the circle rolls along a straight line. |
| A. | cycloid |
| B. | epicycloid |
| C. | epitrochoid |
| D. | trochoid |
| Answer» E. | |
| 39. |
The asymptotes of any hyperbola intersects at |
| A. | on the directrix |
| B. | on the axis |
| C. | at focus |
| D. | centre |
| Answer» E. | |
| 40. |
The lines which touch the hyperbola at an infinite distance are |
| A. | axes |
| B. | tangents at vertex |
| C. | latus rectum |
| D. | asymptotes |
| Answer» E. | |
| 41. |
The parabola x2 = ay is symmetric about x- axis. |
| A. | true |
| B. | false |
| Answer» C. | |
| 42. |
The length of the latus rectum of the parabola y2 =ax is |
| A. | 4a |
| B. | a |
| C. | a/4 |
| D. | 2a |
| Answer» C. a/4 | |
| 43. |
Which of the following is incorrect about Parabola? |
| A. | eccentricity is less than 1 |
| B. | mathematical equation is x2 = 4ay |
| C. | length of latus rectum is 4a |
| D. | the distance from the focus to a vertex is equal to the perpendicular distance from a vertex to the directrix |
| Answer» B. mathematical equation is x2 = 4ay | |
| 44. |
Loop of the thread method is the practical application of method. |
| A. | oblong method |
| B. | trammel method |
| C. | arcs of circles method |
| D. | concentric method |
| Answer» D. concentric method | |
| 45. |
If we know the major and minor axes of the ellipse, the first step of drawing the ellipse, we draw the axes each other. |
| A. | parallel to |
| B. | perpendicular bisecting |
| C. | just touching |
| D. | coinciding |
| Answer» C. just touching | |
| 46. |
In arcs of circles method, the foci are constructed by drawing arcs with centre as one of the ends of the axis and the radius equal to the half of the axis. |
| A. | minor, major |
| B. | major, major |
| C. | minor, minor |
| D. | major, minor |
| Answer» B. major, major | |
| 47. |
If information about the major and minor axes of ellipse is given then by how many methods can we draw the ellipse? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» E. | |
| 48. |
An ellipse is defined as a curve traced by a point which has the sum of distances between any two fixed points always same in the same plane. |
| A. | true |
| B. | false |
| Answer» B. false | |
| 49. |
An ellipse has foci. |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 50. |
In the general method of drawing an ellipse, after parting the line joining the directrix and the focus, a is made. |
| A. | tangent |
| B. | vertex |
| C. | perpendicular bisector |
| D. | normal |
| Answer» C. perpendicular bisector | |