cassie23558
cassie23558 cassie23558
  • 04-01-2020
  • Mathematics
contestada

What conic section degenerates into a line?




Parabola



Hyperbola



Circle



Ellipse

I think it's Ellipse? I'm not sure though

Respuesta :

jimthompson5910 jimthompson5910
  • 04-01-2020

Answer: A) parabola

Some degenerate parabola cases form a single straight line, while other cases form one pair of parallel lines.

A degenerate hyperbola forms two lines that intersect at the vertex of the cone. We can rule out choice B.

A degenerate circle is a single point, so we can rule out choice C.

A degenerate ellipse is also a single point. Any circle is an ellipse (but not the other way around). We can rule out choice D.

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