alleryStart learning →Which four curves are grouped together as the nondegenerate conic sections?
AEllipse, point, hyperbola, line
BCircle, line, parabola, point
CEllipse, circle, hyperbola, parabola
DPoint, line, ray, hyperbola
Answer & Solution
Correct answer: C. Ellipse, circle, hyperbola, parabola
1. Slicing a double cone with a plane that misses the apex gives a genuine curve.
2. Those four curves are the ellipse, the circle, the hyperbola and the parabola.
3. A point, a line and a pair of crossing lines are the degenerate cases instead.
_Source: OpenStax College Algebra (CC BY 4.0), Ch 8 "Analytic Geometry", section 8.4 Rotation of Axes_
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