(a)
To find:Describe in words how a plane could intersect the double-napped cone to form circle.
(a)
Answer to Problem 120E
The plane will cut the double napped cone right parallel to the base of the cone except the vertex.
Explanation of Solution
Calculation:
The plane will cut right parallel to the base of the double-napped cone except at the vertex of the cone. So, in this way the conic circle will be formed from the plane and double-napped cone.
(b)
To find:Describe in words how a plane could intersect the double-napped cone to form ellipse.
(b)
Answer to Problem 120E
The plane will cut the double napped cone making some acute angle with the base of the cone.
Explanation of Solution
Calculation:
The plane will be set in such a way that it makes some acute angle with the base of the double-napped cone. Then the intersection of the plane and double-napped cone will form an ellipse.
(c)
To find:Describe in words how a plane could intersect the double-napped cone to form parabola.
(c)
Answer to Problem 120E
The plane will cut the double napped cone making some acute angle with the top of the cone.
Explanation of Solution
Calculation:
The plane will be set in such a way that it makes some acute angle with the top of the double-napped cone. Then the intersection of the plane and double-napped cone will form an parabola.
(d)
To find:Describe in words how a plane could intersect the double-napped cone to form hyperbola.
(d)
Answer to Problem 120E
The plane will intersect the double-napped cone perpendicular to the base of the cone from any of the side.
Explanation of Solution
Calculation:
The plane will be set perpendicular to the double-napped cone and taken from any side of the cone to intersect the boundary.In this way the intersection of the plane with double-napped cone will form hyperbola.
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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