The angle between the generator and the central axis of a double-napped cone is 40°. A plane intersects the central axis at an angle between 40° and 90°. Which conic section is formed?

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05-01-2021
Mathematics

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The angle between the generator and the central axis of a double-napped cone is 40°. A plane intersects the central axis at an angle between 40° and 90°. Which conic section is formed?

Sagot :

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ajeigbeibraheem ajeigbeibraheem · Answer 1 · 2021-01-05T23:02:08-05:00

ajeigbeibraheem ajeigbeibraheem

05-01-2021

Answer:

Ellipse

Step-by-step explanation:

From the given information:

Suppose the plane cuts the cone in such a manner that the plane is neither perpendicular nor parallel to the axis and also the angle of intersection is greater than the generator angle.

Then the conic section formed is an Ellipse.

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-06-07T05:09:37-04:00

The Conic Section that is formed from the intersection of the central axis at an angle between 40° and 90° will be An Ellipse.

How to transform a Plane?

Let us consider that the plane cuts the cone in such a manner that the plane is neither perpendicular nor parallel to the axis and also the angle of intersection is greater than the generator angle.

Thus, we can say that when the plane intersects the double-napped cone in such a manner that the angle between the vertex and the angle is greater than the vertex angle.

Then the resulting conic section formed is an Ellipse.

Sagot :

How to transform a Plane?

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