This set of Engineering Drawing Multiple Choice Questions & Answers (MCQs) focuses on “Sections of Cones”.
1. A regular cone is placed on V.P on its base a section plane is parallel to H.P and section plane is 2cm away from the axis the section will be ____________
a) ellipse
b) hyperbola
c) circle
d) triangle
View Answer
Explanation: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola. If the section plane is perpendicular to axis the section is circle. If section plane passes through apex the section formed is a triangle.
2. A regular cone is placed such that axis is perpendicular to H.P and the section plane is inclined to axis and parallel to one of the generator then the section will be ___________
a) ellipse
b) hyperbola
c) parabola
d) triangle
View Answer
Explanation: If a regular cone is been cut by plane which is inclined to axis of cone and cutting all generators then the section formed will be ellipse and if section plane is inclined with axis with angle less than half of the angle between the slanting ends then section formed is a parabola.
3. A regular cone is placed such that axis is parallel to both reference planes the section plane perpendicular to both reference planes and cuts the cone the section will be like ____________
a) ellipse
b) hyperbola
c) circle
d) triangle
View Answer
Explanation: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola. If the section plane is perpendicular to axis the section is circle. If section plane passes through apex the section formed is a triangle.
4. A regular cone is placed on H.P and section plane is parallel to axis cutting the cone at the middle then the section will be _______________
a) ellipse
b) hyperbola
c) circle
d) triangle
View Answer
Explanation: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola. If the section plane is perpendicular to axis the section is circle. If section plane passes through apex the section formed is a triangle.
5. A regular cone is been cut by a cutting plane which passes through the apex of cone and making some angle with axis less than half of angle between the slanting ends the section will be like __________
a) ellipse
b) hyperbola
c) circle
d) triangle
View Answer
Explanation: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola. If the section plane is perpendicular to axis the section is circle. If section plane passes through apex the section formed is a triangle.
6. A regular cone is resting on V.P with axis perpendicular to it a plane is cutting the cone such that it is perpendicular to H.P and inclined to V.P cutting cone at all generators the section formed is ________
a) ellipse
b) hyperbola
c) circle
d) triangle
View Answer
Explanation: If a regular cone is been cut by plane which is inclined to axis of cone and cutting all generators then the section formed will be ellipse. If section plane is inclined with axis with angle less than half of the angle between the slanting ends then section formed is a parabola.
7. A regular cone is resting on H.P on its base. A section plane is perpendicular to H.P and V.P cutting the cone such that the plane is not having axis of cone in it. The section would be ________
a) Ellipse
b) Hyperbola
c) Parabola
d) Triangle
View Answer
Explanation: Given the section plane is perpendicular to H.P and V.P and axis of cone perpendicular to H.P. So if a regular cone is been cut by plane which is parallel to its axis and plane is not coinciding with the axis then section formed will be parabola.
8. A regular cone is been cut by a plane which is perpendicular to axis of cone the section will be like __________
a) ellipse
b) hyperbola
c) circle
d) triangle
View Answer
Explanation: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola. If the section plane is perpendicular to axis the section is circle. If section plane passes through apex the section formed is triangle.
9. A regular cone is been cut by a plane which is parallel to the axis of cone the section formed will be like _____________
a) ellipse
b) hyperbola
c) circle
d) parabola
View Answer
Explanation: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola. If the section plane is perpendicular to axis the section is circle. If section plane passes through apex the section formed is a triangle.
10. A regular cone is been cut by a plane which is parallel to the axis of cone, the section formed will be like ______________
a) ellipse
b) triangle
c) circle
d) parabola
View Answer
Explanation: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola. If the section plane is perpendicular to axis the section is circle. If section plane passes through apex the section formed is a triangle.
11. A regular cone is been cut by a plane which is inclined to axis of cone and cuts all the generators the section formed be like _____________
a) ellipse
b) hyperbola
c) circle
d) parabola
View Answer
Explanation: If a regular cone is been cut by plane which is inclined to axis of cone and cutting all generators then the section formed will be an ellipse and if section plane is inclined with axis with angle less than half of the angle between the slanting ends then section formed is a parabola.
12. Given are some shapes of sections of a regular cone. Match the following.
| Positions of the cutting plane | True shape of section | ||
| 1. | Inclined to axis cutting all generators | i. | Circle |
| 2. | Parallel to axis | ii. | Ellipse |
| 3. | Perpendicular to axis | iii. | Triangle |
| 4. | Passing through the axis or the apex | iv. | Rectangular hyperbola |
a) 1, iv; 2, iii; 3, i; 4, ii
b) 1, ii; 2, iv; 3, iii; 4, i
c) 1, ii; 2, iv; 3, i; 4, iii
d) 1, ii; 2, iii; 3, i; 4, iv
View Answer
Explanation: Generators are the imaginary line drawn from base to apex of the curves. If the plane is inclined to and on one side of the axis the section is Hyperbola and if the plane is parallel to the generator the section formed is a parabola.
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