2. The length through perpendicular gives the shortest length from a point to the line.
Correct : A. true
3. A Ogee curve is a
Correct : B. continuous double curve with convex and concave
4. How many pairs of parallel lines are there in regular Hexagon?
Correct : B. 3
5. How many pairs of parallel lines are there in a regular pentagon?
Correct : A. 0
6. How many external tangents are there for two circles?
Correct : B. 2
7. How many internal tangents are there for two circles?
Correct : C. 2
8. For any point on any curve there exist two normals.
Correct : B. false
9. There are 2 circles say A, B. A has 20 units radius and B has 10 units radius and distance from centers of A and B is 40 units. Where will be the intersection point of external tangents?
Correct : B. to the right of the two circles
10. There are 2 circles say A, B. A is smaller than B and they are not intersecting at any point. Where will be the intersection point of internal tangents for these circles?
Correct : B. to the right of the two circles
11. Which of the following is incorrect about Ellipse?
Correct : C. if a plane is parallel to axis of cone cuts the cone then the section gives ellipse
12. Which of the following constructions doesn’t use elliptical curves?
Correct : A. cooling towers
13. The line which passes through the focus and perpendicular to the major axis is
Correct : B. latus rectum
14. Axes are called conjugate axes when they are parallel to the tangents drawn at their extremes.
Correct : A. true
15. Which of the following is not belonged to ellipse?
Correct : D. asymptotes
16. In general method of drawing an ellipse, a vertical line called as is drawn first.
Correct : D. directrix
17. If eccentricity of ellipse is 3/7, how many divisions will the line joining the directrix and the focus have in general method?
Correct : A. 10
18. In the general method of drawing an ellipse, after parting the line joining the directrix and the focus, a is made.
Correct : B. vertex
19. 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.
Correct : A. true
20. An ellipse has foci.
Correct : B. 2
21. If information about the major and minor axes of ellipse is given then by how many methods can we draw the ellipse?
Correct : D. 5
22. 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.
Correct : A. minor, major
23. If we know the major and minor axes of the ellipse, the first step of drawing the ellipse, we draw the axes each other.
Correct : B. perpendicular bisecting
24. Loop of the thread method is the practical application of method.
Correct : C. arcs of circles method
25. Which of the following is incorrect about Parabola?
Correct : A. eccentricity is less than 1
26. Which of the following constructions use parabolic curves?
Correct : C. light reflectors
27. The length of the latus rectum of the parabola y2 =ax is
Correct : B. a
28. Which of the following is not a parabola equation?
Correct : D. x2 = 4ay2
29. The parabola x2 = ay is symmetric about x- axis.
Correct : B. false
30. Which of the following is not belonged to ellipse?
Correct : C. major axis
31. Which of the following is Hyperbola equation?
Correct : C. x2 /a2 – y2/b2 = 1
32. Which of the following constructions use hyperbolic curves?
Correct : A. cooling towers
33. The lines which touch the hyperbola at an infinite distance are
Correct : D. asymptotes
34. If the asymptotes are perpendicular to each other then the hyperbola is called rectangular hyperbola.
Correct : A. true
35. A straight line parallel to asymptote intersects the hyperbola at only one point.
Correct : A. true
36. The asymptotes of any hyperbola intersects at
Correct : D. centre
37. is a curve generated by a point fixed to a circle, within or outside its circumference, as the circle rolls along a straight line.
Correct : D. trochoid
38. is a curve generated by a point on the circumference of a circle, which rolls without slipping along another circle outside it.
Correct : B. epicycloid
39. is a curve generated by a point on the circumference of a circle which rolls without slipping on a straight line.
Correct : C. cycloid
40. When the circle rolls along another circle inside it, the curve is called a
Correct : D. hypocycloid
41. The generating circle will be inside the directing circle for
Correct : D. hypocycloid
42. The generating point is outside the generating circle for
Correct : B. superior trochoid
43. Mathematical equation for Involute is
Correct : B. x = r cosθ + r θ sinθ
44. For inferior trochoid or inferior epitrochoid the curve touches the directing line or directing circle.
Correct : B. false
45. ‘Hypo’ as prefix to cycloids give that the generating circle is inside the directing circle.
Correct : A. true
46. Which of the following represents an Archemedian spiral?
Correct : C. mosquito coil
47. Which of the following does not represents an Archemedian spiral?
Correct : D. cyclone
48. Match the following. Given points are about spirals.
Correct : D. 1, iv; 2, i; 3, ii; 4, iii
49. Fermat’s spiral iv. r=Ɵ1/2
Correct : C. 1, iv; 2, i; 3, ii; 4, iii
50. Cyclone iv. Lituus spiral
Correct : B. 1, ii; 2, iii; 3, i; 4, iv
51. Logarithmic spiral is also called Equiangular spiral.
Correct : A. true
52. In logarithmic Spiral, the radius vectors are in arithmetical progression.
Correct : B. false
53. The mosquito coil we generally see in house hold purposes and heating coils in electrical heater etc are generally which spiral.
Correct : D. archemedian spiral
54. The sections cut by a plane on a right circular cone are called as
Correct : B. conic sections
55. Which of the following is a conic section?
Correct : A. circle
56. In conics, the is revolving to form two anti-parallel cones joined at the apex.
Correct : C. generator
57. While cutting, if the plane is at an angle and it cuts all the generators, then the conic formed is called as
Correct : B. ellipse
58. When the plane cuts the cone at angle parallel to the axis of the cone, then is formed.
Correct : A. hyperbola
59. Which of the following is not a conic section?
Correct : A. apex
60. 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
Correct : A. conic
61. The ratio of the distance from the focus to the distance from the directrix is called as eccentricity.
Correct : A. true
62. Which of the following conics has an eccentricity of unity?
Correct : B. parabola
63. Which of the following has an eccentricity less than one?
Correct : D. ellipse
64. If the distance from the focus is 10 units and the distance from the directrix is 30 units, then what is the eccentricity?
Correct : A. 0.3333
65. If the value of eccentricity is 12, then what is the name of the conic?
Correct : B. hyperbola
66. If the distance from the focus is 3 units and the distance from the directrix is 3 units, then how much is the eccentricity?
Correct : C. unity
67. If the distance from the focus is 2 mm and the distance from the directrix is 0.5 mm then what is the name of the conic section?
Correct : D. hyperbola
68. Which of the following is a conic section?
Correct : B. circle
69. 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?
Correct : D. ellipse
70. 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?
Correct : B. 4
71. 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?
Correct : D. parabola
72. 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?
Correct : A. ellipse
73. 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?
Correct : C. hyperbola
74. 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?
Correct : B. parabola
75. If the distance from the directrix is greater than the distance from the focus then what is the value of eccentricity?
Correct : B. less than one
76. 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?
Correct : C. 0.60
77. 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?
Correct : A. hyperbola
78. If the distance from the directrix is greater than the distance from the focus then what is the name of the conic section?
Correct : C. ellipse
79. If the distance from a fixed straight line is equal to the distance from a fixed point then what is the value of eccentricity?
Correct : A. unity
80. If the distance from a fixed point is greater than the distance from a fixed straight line then what is the value of eccentricity?
Correct : D. greater than one
81. The cross-section is a when a plane is inclined to the axis and cuts all the generators of a regular cone.
Correct : D. ellipse
82. The curve formed when eccentricity is equal to one is
Correct : A. parabola
83. The cross-section gives a when the cutting plane is parallel to axis of cone.
Correct : B. hyperbola
84. The curve which has eccentricity zero is
Correct : D. circle
85. Rectangular hyperbola is one of the hyperbola but the asymptotes are perpendicular in case of rectangular hyperbola.
Correct : A. true
86. The straight lines which are drawn from various points on the contour of an object to meet a plane are called as
Correct : B. projectors
87. When the projectors are parallel to each other and also perpendicular to the plane, the projection is called
Correct : D. orthographic projection
88. In the Oblique projection an object is represented by how many views?
Correct : A. one view
89. The object we see in our surrounding usually without drawing came under which projection?
Correct : A. perspective projection
90. In orthographic projection, each projection view represents how many dimensions of an object?
Correct : B. 2
91. In orthographic projection an object is represented by two or three views on different planes which
Correct : B. are mutually perpendicular projection planes
92. To represent the object on paper by orthographic projection the horizontal plane (H.P) should be placed in which way?
Correct : A. the h.p is turned in a clockwise direction up to 90 degrees
93. The hidden parts inside or back side of object while represented in orthographic projection are represented by which line?
Correct : C. dashed thin line
94. Orthographic projection is the representation of two or more views on the mutual perpendicular projection planes.
Correct : A. true
95. In perspective projection and oblique projection, the projectors are not parallel to each other.
Correct : B. false
96. What is additional 3rd view on orthographic projection in general for simple objects?
Correct : C. side view
97. The front view of an object is shown on which plane?
Correct : B. vertical plane
98. The Top view of an object is shown on which plane?
Correct : C. horizontal plane
99. The side view of an object is shown on which plane?