What conic section degenerates into a line?
1 answer:
<h3>
Answer: A) parabola</h3>
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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Rewrite in standard form and use the form to find the vertex.
(1, 5)
(x - 1)^2 + 5
Answer:
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X^2-5x, given x=7,
(7)^2-5(7)=14
sqrt(14)=3.74