Question

A plane intersecting a double-napped cone makes a 55° angle with the central axis. The angle between the generator and the central axis is 35°.

Which conic section is formed?

A.) circle
B.) ellipse
C.) hyperbola
D.) parabola

Answer 1

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Answer 2

To solve this problem, we have to compare the angles to 90 degrees in order to identify which conic section is formed.

Since the intersecting angles are less than 90 degrees, this proves the conic section is an ellipse.

What is Conic Section?

This is is a topic in geometry that talks about any curve produced by the intersection of a plane and a right circular cone.

We have several conical sections which are circle, ellipse, hyperbola and parabola.

Assuming some values here

α = The angle made by generator and the central axis

β = The angle made by the plane intersecting and the central axis

• α = 35°
• β = 55°

We can compare the values as

$\alpha < \beta < 90^0\\35^0 < 55^0 < 90^0$

Since the intersecting angles are less than 90 degrees, this proves the conic section is an ellipse.

Learn more on ellipse here;

https://brainly.com/question/16205803

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