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What conic section degenerates into a line?

Parabola



Hyperbola



Circle



Ellipse

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

User Eakgul
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1 Answer

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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.

User Varnan K
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