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What conic section degenerates into a line?

Ellipse
Circle
Hyperbola
Parabola

User Maalls
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2 Answers

5 votes

Answer:

It is parabola

User Squeegy
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4 votes

Answer:

The answer is "parabola."

Explanation:

Parabola- this is a symmetric open-plane curve that is formed by the intersection of a cone with a plane parallel to its side.

Degenerate Conic- this is generated when a plane intersects with the vertex of the cone.

Plane- a flat, two-dimensional surface that extends infinitely far.

Cone- a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

In Mathematics, the degenerate form of a parabola is a line or two parallel lines. The degenerate form of a hyperbola is two intersecting lines while a degenerate form of a circle or an ellipse is a singular point.

Thus, the answer is parabola.

User Alan Grosz
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